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106465256436 = 223711239482101
BaseRepresentation
bin110001100100111010…
…0101110001111110100
3101011210202011101202210
41203021310232033310
53221020101201221
6120524235533420
710456210514430
oct1431164561764
9334722141683
10106465256436
1141173952a40
1218772bba270
13a0690b7476
14521d97d9c0
152b81b26276
hex18c9d2e3f4

106465256436 has 96 divisors (see below), whose sum is σ = 311013642240. Its totient is φ = 27537552000.

The previous prime is 106465256413. The next prime is 106465256461. The reversal of 106465256436 is 634652564601.

It is a super-2 number, since 2×1064652564362 (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 31 ways as a sum of consecutive naturals, for example, 20215 + ... + 461886.

It is an arithmetic number, because the mean of its divisors is an integer number (3239725440).

Almost surely, 2106465256436 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 106465256436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155506821120).

106465256436 is an abundant number, since it is smaller than the sum of its proper divisors (204548385804).

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

106465256436 is a wasteful number, since it uses less digits than its factorization.

106465256436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482365 (or 482363 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 106465256436 in words is "one hundred six billion, four hundred sixty-five million, two hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 239 308 462 478 717 924 956 1434 1673 2629 2868 3346 5019 5258 6692 7887 10038 10516 15774 18403 20076 31548 36806 55209 73612 110418 220836 482101 964202 1446303 1928404 2892606 3374707 5303111 5785212 6749414 10124121 10606222 13498828 15909333 20248242 21212444 31818666 37121777 40496484 63637332 74243554 111365331 115222139 148487108 222730662 230444278 345666417 445461324 460888556 691332834 806554973 1267443529 1382665668 1613109946 2419664919 2534887058 3226219892 3802330587 4839329838 5069774116 7604661174 8872104703 9678659676 15209322348 17744209406 26616314109 35488418812 53232628218 106465256436