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1070297487072 = 2532111917781391
BaseRepresentation
bin11111001001100101011…
…00111001011011100000
310210022121212112202220100
433210302230321123200
5120013432124041242
62135404325342400
7140216653350642
oct17446254713340
93708555482810
101070297487072
11382a02035450
12153520567a00
1379c0c241238
1439b3477a892
151cc9303b54c
hexf932b396e0

1070297487072 has 144 divisors (see below), whose sum is σ = 3495110411520. Its totient is φ = 307262419200.

The previous prime is 1070297487041. The next prime is 1070297487079. The reversal of 1070297487072 is 2707847920701.

1070297487072 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 97 + 487 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10702974870722 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070297487079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8830504 + ... + 8950887.

It is an arithmetic number, because the mean of its divisors is an integer number (24271600080).

Almost surely, 21070297487072 is an apocalyptic number.

1070297487072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1070297487072 is an abundant number, since it is smaller than the sum of its proper divisors (2424812924448).

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

1070297487072 is a wasteful number, since it uses less digits than its factorization.

1070297487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17781437 (or 17781426 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 1070297487072 in words is "one trillion, seventy billion, two hundred ninety-seven million, four hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 17781391 35562782 53344173 71125564 106688346 142251128 160032519 195595301 213376692 284502256 320065038 337846429 391190602 426753384 569004512 586785903 640130076 675692858 782381204 853506768 1013539287 1173571806 1280260152 1351385716 1564762408 1707013536 1760357709 2027078574 2347143612 2560520304 2702771432 3040617861 3129524816 3520715418 3716310719 4054157148 4694287224 5121040608 5405542864 6081235722 6259049632 7041430836 7432621438 8108314296 9388574448 10811085728 11148932157 12162471444 14082861672 14865242876 16216628592 18777148896 22297864314 24324942888 28165723344 29730485752 32433257184 33446796471 44595728628 48649885776 56331446688 59460971504 66893592942 89191457256 97299771552 118921943008 133787185884 178382914512 267574371768 356765829024 535148743536 1070297487072