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97749551536 = 24713307379577
BaseRepresentation
bin101101100001001010…
…0111100100110110000
3100100022100000201022121
41123002110330212300
53100142341122121
6112523332044024
710030216323160
oct1330224744660
9310270021277
1097749551536
113850108993a
1216b40163614
1392aa4c6830
144a342105a0
1528218a5141
hex16c253c9b0

97749551536 has 160 divisors (see below), whose sum is σ = 234877744640. Its totient is φ = 38375866368.

The previous prime is 97749551519. The next prime is 97749551567. The reversal of 97749551536 is 63515594779.

It is a happy number.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169409680 + ... + 169410256.

It is an arithmetic number, because the mean of its divisors is an integer number (1467985904).

Almost surely, 297749551536 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 97749551536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117438872320).

97749551536 is an abundant number, since it is smaller than the sum of its proper divisors (137128193104).

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

97749551536 is a wasteful number, since it uses less digits than its factorization.

97749551536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its digits is 35721000, while the sum is 61.

The spelling of 97749551536 in words is "ninety-seven billion, seven hundred forty-nine million, five hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 307 364 379 577 614 728 758 1154 1228 1456 1516 2149 2308 2456 2653 3032 3991 4039 4298 4616 4912 4927 5306 6064 7501 7982 8078 8596 9232 9854 10612 15002 15964 16156 17192 19708 21224 27937 30004 31928 32312 34384 34489 39416 42448 52507 55874 60008 63856 64624 68978 78832 105014 111748 116353 120016 137956 177139 210028 218683 223496 232706 275912 354278 420056 437366 446992 465412 551824 708556 814471 840112 874732 930824 1239973 1417112 1512589 1530781 1628942 1749464 1861648 2302807 2479946 2834224 2842879 3025178 3061562 3257884 3498928 4605614 4959892 5685758 6050356 6123124 6515768 9211228 9919784 10588123 11371516 12100712 12246248 13031536 16119649 18422456 19839568 19900153 21176246 22743032 24201424 24492496 32239298 36844912 39800306 42352492 45486064 64478596 67135681 79600612 84704984 128957192 134271362 159201224 169409968 257914384 268542724 318402448 469949767 537085448 872763853 939899534 1074170896 1745527706 1879799068 3491055412 3759598136 6109346971 6982110824 7519196272 12218693942 13964221648 24437387884 48874775768 97749551536