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166464701472 = 25353131249749
BaseRepresentation
bin1001101100001000010…
…0011100010000100000
3120220200012201000020210
42123002010130100200
510211404430421342
6204250044134120
715012102421236
oct2330204342040
9526605630223
10166464701472
1164662a91053
1228318837340
131290b6abb74
1480b232a956
1544e42b979c
hex26c211c420

166464701472 has 96 divisors (see below), whose sum is σ = 448614936000. Its totient is φ = 54025487360.

The previous prime is 166464701443. The next prime is 166464701503. The reversal of 166464701472 is 274107464661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541654 + ... + 791402.

It is an arithmetic number, because the mean of its divisors is an integer number (4673072250).

Almost surely, 2166464701472 is an apocalyptic number.

166464701472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166464701472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224307468000).

166464701472 is an abundant number, since it is smaller than the sum of its proper divisors (282150234528).

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

166464701472 is a wasteful number, since it uses less digits than its factorization.

166464701472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249946 (or 249938 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 166464701472 in words is "one hundred sixty-six billion, four hundred sixty-four million, seven hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 131 159 212 262 318 393 424 524 636 786 848 1048 1272 1572 1696 2096 2544 3144 4192 5088 6288 6943 12576 13886 20829 27772 41658 55544 83316 111088 166632 222176 249749 333264 499498 666528 749247 998996 1498494 1997992 2996988 3995984 5993976 7991968 11987952 13236697 23975904 26473394 32717119 39710091 52946788 65434238 79420182 98151357 105893576 130868476 158840364 196302714 211787152 261736952 317680728 392605428 423574304 523473904 635361456 785210856 1046947808 1270722912 1570421712 1734007307 3140843424 3468014614 5202021921 6936029228 10404043842 13872058456 20808087684 27744116912 41616175368 55488233824 83232350736 166464701472