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106352062432 = 2571143162363
BaseRepresentation
bin110001100001100010…
…0111010111111100000
3101011111212011112210021
41203003010322333200
53220302111444212
6120505113443224
710453334420650
oct1430304727740
9334455145707
10106352062432
1141115a6a680
1218741110514
13a04b804375
14520c916360
152b76c17307
hex18c313afe0

106352062432 has 48 divisors (see below), whose sum is σ = 261045977472. Its totient is φ = 41435867520.

The previous prime is 106352062387. The next prime is 106352062469. The reversal of 106352062432 is 234260253601.

It is a super-2 number, since 2×1063520624322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21578718 + ... + 21583645.

It is an arithmetic number, because the mean of its divisors is an integer number (5438457864).

Almost surely, 2106352062432 is an apocalyptic number.

It is an amenable number.

106352062432 is an abundant number, since it is smaller than the sum of its proper divisors (154693915040).

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

106352062432 is a wasteful number, since it uses less digits than its factorization.

106352062432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43162391 (or 43162383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 106352062432 in words is "one hundred six billion, three hundred fifty-two million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 43162363 86324726 172649452 302136541 345298904 474785993 604273082 690597808 949571986 1208546164 1381195616 1899143972 2417092328 3323501951 3798287944 4834184656 6647003902 7596575888 9668369312 13294007804 15193151776 26588015608 53176031216 106352062432