Search a number
-
+
97499527664 = 24711717315269
BaseRepresentation
bin101101011001101101…
…1001011100111110000
3100022122220120012001012
41122303123023213300
53044134334341124
6112442441130052
710021062211460
oct1326333134760
9308586505035
1097499527664
1138392a3a240
1216a90489928
13926a776306
144a0cd29ba0
152809968e0e
hex16b36cb9f0

97499527664 has 160 divisors (see below), whose sum is σ = 242123074560. Its totient is φ = 36936345600.

The previous prime is 97499527663. The next prime is 97499527687. The reversal of 97499527664 is 46672599479.

It is a junction number, because it is equal to n+sod(n) for n = 97499527594 and 97499527603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97499527663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6377822 + ... + 6393090.

It is an arithmetic number, because the mean of its divisors is an integer number (1513269216).

Almost surely, 297499527664 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 97499527664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121061537280).

97499527664 is an abundant number, since it is smaller than the sum of its proper divisors (144623546896).

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

97499527664 is a wasteful number, since it uses less digits than its factorization.

97499527664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15433 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 68.

The spelling of 97499527664 in words is "ninety-seven billion, four hundred ninety-nine million, five hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 73 77 88 112 142 146 154 176 284 292 308 497 511 568 584 616 781 803 994 1022 1136 1168 1232 1562 1606 1988 2044 3124 3212 3976 4088 5183 5467 5621 6248 6424 7952 8176 10366 10934 11242 12496 12848 15269 20732 21868 22484 30538 36281 41464 43736 44968 57013 61076 72562 82928 87472 89936 106883 114026 122152 145124 167959 213766 228052 244304 290248 335918 399091 427532 456104 580496 671836 798182 855064 912208 1084099 1114637 1175713 1343672 1596364 1710128 2168198 2229274 2351426 2687344 3192728 4336396 4458548 4702852 6385456 7588693 7802459 8672792 8917096 9405704 11925089 12261007 15177386 15604918 17345584 17834192 18811408 23850178 24522014 30354772 31209836 47700356 49044028 60709544 62419672 79139227 83475623 85827049 95400712 98088056 121419088 124839344 158278454 166951246 171654098 190801424 196176112 316556908 333902492 343308196 553974589 633113816 667804984 686616392 870531497 1107949178 1266227632 1335609968 1373232784 1741062994 2215898356 3482125988 4431796712 6093720479 6964251976 8863593424 12187440958 13928503952 24374881916 48749763832 97499527664