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96885762920070 = 235173112974724851
BaseRepresentation
bin10110000001110111111001…
…011110111000111010000110
3110201001012002101211022111020
4112001313321132320322012
5100144334020301420240
6542020412142052010
726256523344550035
oct2601677136707206
9421035071738436
1096885762920070
11289640263a8543
12aa49139b7a006
13420a399359a77
1419cd42010a71c
15b3034aecc0d0
hex581df97b8e86

96885762920070 has 128 divisors (see below), whose sum is σ = 254341882662912. Its totient is φ = 23513877504000.

The previous prime is 96885762920047. The next prime is 96885762920077. The reversal of 96885762920070 is 7002926758869.

It is a junction number, because it is equal to n+sod(n) for n = 96885762919977 and 96885762920004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96885762920077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18143145 + ... + 22867995.

It is an arithmetic number, because the mean of its divisors is an integer number (1987045958304).

Almost surely, 296885762920070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96885762920070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127170941331456).

96885762920070 is an abundant number, since it is smaller than the sum of its proper divisors (157456119742842).

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

96885762920070 is a wasteful number, since it uses less digits than its factorization.

96885762920070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726206.

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 96885762920070 in words is "ninety-six trillion, eight hundred eighty-five billion, seven hundred sixty-two million, nine hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1297 1581 2594 2635 3162 3891 5270 6485 7782 7905 12970 15810 19455 22049 38910 40207 44098 66147 80414 110245 120621 132294 201035 220490 241242 330735 402070 603105 661470 683519 1206210 1367038 2050557 3417595 4101114 4724851 6835190 9449702 10252785 14174553 20505570 23624255 28349106 47248510 70872765 80322467 141745530 146470381 160644934 240967401 292940762 401612335 439411143 481934802 732351905 803224670 878822286 1204837005 1464703810 2197055715 2409674010 2489996477 4394111430 4979992954 6128131747 7469989431 12256263494 12449982385 14939978862 18384395241 24899964770 30640658735 36768790482 37349947155 61281317470 74699894310 91921976205 104178239699 183843952410 189972084157 208356479398 312534719097 379944168314 520891198495 569916252471 625069438194 949860420785 1041782396990 1139832504942 1562673595485 1899720841570 2849581262355 3125347190970 3229525430669 5699162524710 6459050861338 9688576292007 16147627153345 19377152584014 32295254306690 48442881460035 96885762920070