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901116479472 = 243112187982571
BaseRepresentation
bin11010001110011101011…
…10100100011111110000
310012010221100122010010220
431013032232210133300
5104230441304320342
61525544525253040
7122050335460506
oct15071656443760
93163840563126
10901116479472
11318185840400
12126786104180
1366c89b89951
14318857b4676
151869056a5ec
hexd1ceba47f0

901116479472 has 120 divisors (see below), whose sum is σ = 2560141557120. Its totient is φ = 272916969600.

The previous prime is 901116479453. The next prime is 901116479477. The reversal of 901116479472 is 274974611109.

It is a super-2 number, since 2×9011164794722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901116479477) 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, 10871947 + ... + 10954517.

It is an arithmetic number, because the mean of its divisors is an integer number (21334512976).

Almost surely, 2901116479472 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 901116479472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280070778560).

901116479472 is an abundant number, since it is smaller than the sum of its proper divisors (1659025077648).

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

901116479472 is a wasteful number, since it uses less digits than its factorization.

901116479472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84483 (or 84466 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 901116479472 in words is "nine hundred one billion, one hundred sixteen million, four hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1879 1936 2904 3758 5637 5808 7516 11274 15032 20669 22548 30064 41338 45096 62007 82571 82676 90192 124014 165142 165352 227359 247713 248028 330284 330704 454718 495426 496056 660568 682077 908281 909436 990852 992112 1321136 1364154 1816562 1818872 1981704 2724843 2728308 3633124 3637744 3963408 5449686 5456616 7266248 9991091 10899372 10913232 14532496 19982182 21798744 29973273 39964364 43597488 59946546 79928728 119893092 155150909 159857456 239786184 310301818 465452727 479572368 620603636 930905454 1241207272 1706659999 1861810908 2482414544 3413319998 3723621816 5119979997 6826639996 7447243632 10239959994 13653279992 18773259989 20479919988 27306559984 37546519978 40959839976 56319779967 75093039956 81919679952 112639559934 150186079912 225279119868 300372159824 450558239736 901116479472