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97468636902 = 237131910986197
BaseRepresentation
bin101101011000110010…
…1010101111011100110
3100022120202102202212220
41122301211111323212
53044103432340102
6112435415053210
710020235513110
oct1326145257346
9308522382786
1097468636902
113837756058a
1216a82071206
13926424ba60
144a08ba83b0
152806db61bc
hex16b1955ee6

97468636902 has 128 divisors (see below), whose sum is σ = 254870246400. Its totient is φ = 24129363456.

The previous prime is 97468636897. The next prime is 97468636933. The reversal of 97468636902 is 20963686479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087668 + ... + 1173864.

It is an arithmetic number, because the mean of its divisors is an integer number (1991173800).

Almost surely, 297468636902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97468636902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127435123200).

97468636902 is an abundant number, since it is smaller than the sum of its proper divisors (157401609498).

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

97468636902 is a wasteful number, since it uses less digits than its factorization.

97468636902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86350.

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 97468636902 in words is "ninety-seven billion, four hundred sixty-eight million, six hundred thirty-six thousand, nine hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 109 114 133 182 218 247 266 273 327 399 494 546 654 741 763 798 1417 1482 1526 1729 2071 2289 2834 3458 4142 4251 4578 5187 6213 8502 9919 10374 12426 14497 19838 26923 28994 29757 43491 53846 59514 80769 86197 86982 161538 172394 188461 258591 376922 517182 565383 603379 1120561 1130766 1206758 1637743 1810137 2241122 3275486 3361683 3620274 4913229 6723366 7843927 9395473 9826458 11464201 15687854 18790946 21290659 22928402 23531781 28186419 34392603 42581318 47063562 56372838 63871977 65768311 68785206 122141149 127743954 131536622 149034613 178513987 197304933 244282298 298069226 357027974 366423447 394609866 447103839 535541961 732846894 854988043 894207678 1071083922 1249597909 1709976086 2320681831 2499195818 2564964129 3748793727 4641363662 5129928258 6962045493 7497587454 13924090986 16244772817 32489545634 48734318451 97468636902