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64132061126580 = 22325838111529237
BaseRepresentation
bin11101001010011111010001…
…01110001101111110110100
322102001222001121101112122200
432211033220232031332310
531401214430122022310
6344221510120424500
716336250155126356
oct1645175056157664
9272058047345580
1064132061126580
111948628864a7a7
127239281618130
1329a2820578775
1411ba018b8d0d6
1576334e80a9c0
hex3a53e8b8dfb4

64132061126580 has 144 divisors (see below), whose sum is σ = 196902345878784. Its totient is φ = 16893721186560.

The previous prime is 64132061126531. The next prime is 64132061126591. The reversal of 64132061126580 is 8562116023146.

64132061126580 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 2 + 0 + 61 + 1 + 2 + 6 + 580 = 666.

It is a super-2 number, since 2×641320611265802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120913722 + ... + 121442958.

It is an arithmetic number, because the mean of its divisors is an integer number (1367377401936).

Almost surely, 264132061126580 is an apocalyptic number.

64132061126580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64132061126580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98451172939392).

64132061126580 is an abundant number, since it is smaller than the sum of its proper divisors (132770284752204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64132061126580 is a wasteful number, since it uses less digits than its factorization.

64132061126580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537446 (or 537441 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 64132061126580 in words is "sixty-four trillion, one hundred thirty-two billion, sixty-one million, one hundred twenty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 8111 14940 16222 24333 32444 40555 48666 72999 81110 97332 121665 145998 162220 243330 291996 364995 486660 529237 673213 729990 1058474 1346426 1459980 1587711 2019639 2116948 2646185 2692852 3175422 3366065 4039278 4763133 5292370 6058917 6350844 6732130 7938555 8078556 9526266 10098195 10584740 12117834 13464260 15877110 19052532 20196390 23815665 24235668 30294585 31754220 40392780 43926671 47631330 60589170 87853342 95262660 121178340 131780013 175706684 219633355 263560026 395340039 439266710 527120052 658900065 790680078 878533420 1317800130 1581360156 1976700195 2635600260 3953400390 4292641307 7906800780 8585282614 12877923921 17170565228 21463206535 25755847842 38633771763 42926413070 51511695684 64389619605 77267543526 85852826140 128779239210 154535087052 193168858815 257558478420 356289228481 386337717630 712578456962 772675435260 1068867685443 1425156913924 1781446142405 2137735370886 3206603056329 3562892284810 4275470741772 5344338427215 6413206112658 7125784569620 10688676854430 12826412225316 16033015281645 21377353708860 32066030563290 64132061126580