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1106307606152 = 237243235127917
BaseRepresentation
bin10000000110010101000…
…100100110011010001000
310220202120110221100201102
4100012111010212122020
5121111204221344102
62204121455240532
7142633222331600
oct20062504463210
93822513840642
101106307606152
11397200890941
1215a4b0219148
138042a805bc8
143b78d0a9c00
151db9e5eb402
hex10195126688

1106307606152 has 96 divisors (see below), whose sum is σ = 2470247176320. Its totient is φ = 462891945600.

The previous prime is 1106307606113. The next prime is 1106307606167. The reversal of 1106307606152 is 2516067036011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39614498 + ... + 39642414.

It is an arithmetic number, because the mean of its divisors is an integer number (25731741420).

Almost surely, 21106307606152 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 1106307606152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235123588160).

1106307606152 is an abundant number, since it is smaller than the sum of its proper divisors (1363939570168).

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

1106307606152 is a wasteful number, since it uses less digits than its factorization.

1106307606152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30331 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 1106307606152 in words is "one trillion, one hundred six billion, three hundred seven million, six hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 1204 2107 2351 2408 4214 4702 8428 9404 16457 16856 18808 27917 32914 55834 65828 101093 111668 115199 131656 195419 202186 223336 230398 390838 404372 460796 707651 781676 808744 921592 1200431 1367933 1415302 1563352 2400862 2735866 2830604 4801724 4953557 5471732 5661208 8403017 9603448 9907114 10943464 16806034 19814228 33612068 39628456 58821119 65632867 67224136 117642238 131265734 235284476 262531468 459430069 470568952 525062936 918860138 1837720276 2822213281 3216010483 3675440552 5644426562 6432020966 11288853124 12864041932 19755492967 22577706248 25728083864 39510985934 79021971868 138288450769 158043943736 276576901538 553153803076 1106307606152