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70007356272 = 24372938543
BaseRepresentation
bin100000100110011000…
…0110111101101110000
320200200221012011210010
41001030300313231300
52121333340400042
652054432334520
75025563465340
oct1011460675560
9220627164703
1070007356272
1127765366a37
12116993a4440
1367a8b21a89
1435619acd20
151c4b0b559c
hex104cc37b70

70007356272 has 160 divisors (see below), whose sum is σ = 214094868480. Its totient is φ = 19310113536.

The previous prime is 70007356267. The next prime is 70007356283. The reversal of 70007356272 is 27265370007.

It is a self number, because there is not a number n which added to its sum of digits gives 70007356272.

It is a congruent number.

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, 8190433 + ... + 8198975.

It is an arithmetic number, because the mean of its divisors is an integer number (1338092928).

Almost surely, 270007356272 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 70007356272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107047434240).

70007356272 is an abundant number, since it is smaller than the sum of its proper divisors (144087512208).

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

70007356272 is an equidigital number, since it uses as much as digits as its factorization.

70007356272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

It can be divided in two parts, 7000735 and 6272, that added together give a palindrome (7007007).

The spelling of 70007356272 in words is "seventy billion, seven million, three hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 841 1218 1392 1624 1682 2436 2523 3248 3364 4872 5046 5887 6728 8543 9744 10092 11774 13456 17086 17661 20184 23548 24389 25629 34172 35322 40368 47096 48778 51258 59801 68344 70644 73167 94192 97556 102516 119602 136688 141288 146334 170723 179403 195112 205032 239204 247747 282576 292668 341446 358806 390224 410064 478408 495494 512169 585336 682892 717612 743241 956816 990988 1024338 1170672 1365784 1435224 1486482 1734229 1981976 2048676 2731568 2870448 2972964 3468458 3963952 4097352 5202687 5945928 6936916 7184663 8194704 10405374 11891856 13873832 14369326 20810748 21553989 27747664 28738652 41621496 43107978 50292641 57477304 83242992 86215956 100585282 114954608 150877923 172431912 201170564 208355227 301755846 344863824 402341128 416710454 603511692 625065681 804682256 833420908 1207023384 1250131362 1458486589 1666841816 2414046768 2500262724 2916973178 3333683632 4375459767 5000525448 5833946356 8750919534 10001050896 11667892712 17501839068 23335785424 35003678136 70007356272