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431027601620 = 225711367176243
BaseRepresentation
bin1100100010110110011…
…11110100000011010100
31112012120001110211210012
412101123033310003110
524030221031222440
6530002241215352
743066160106650
oct6213317640324
91465501424705
10431027601620
11156885931770
126b652331558
1331851885a25
1416c0cca1a60
15b32a856e65
hex645b3f40d4

431027601620 has 96 divisors (see below), whose sum is σ = 1128830846976. Its totient is φ = 134307907200.

The previous prime is 431027601593. The next prime is 431027601679. The reversal of 431027601620 is 26106720134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5615219 + ... + 5691461.

It is an arithmetic number, because the mean of its divisors is an integer number (11758654656).

Almost surely, 2431027601620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431027601620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564415423488).

431027601620 is an abundant number, since it is smaller than the sum of its proper divisors (697803245356).

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

431027601620 is a wasteful number, since it uses less digits than its factorization.

431027601620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79941 (or 79939 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 431027601620 in words is "four hundred thirty-one billion, twenty-seven million, six hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3671 7342 14684 18355 25697 36710 40381 51394 73420 76243 80762 102788 128485 152486 161524 201905 256970 282667 304972 381215 403810 513940 533701 565334 762430 807620 838673 1067402 1130668 1413335 1524860 1677346 2134804 2668505 2826670 3354692 4193365 5337010 5653340 5870711 8386730 10674020 11741422 16773460 23482844 29353555 58707110 117414220 279888053 559776106 1119552212 1399440265 1959216371 2798880530 3078768583 3918432742 5597761060 6157537166 7836865484 9796081855 12315074332 15393842915 19592163710 21551380081 30787685830 39184327420 43102760162 61575371660 86205520324 107756900405 215513800810 431027601620