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41061016932 = 22313737945641
BaseRepresentation
bin100110001111011011…
…010110010101100100
310220222121112210002220
4212033123112111210
51133043110020212
630510240032340
72652346612425
oct461733262544
9126877483086
1041061016932
1116460967841
127b5b3026b0
133b44b34530
141db747d64c
151104c1c38c
hex98f6d6564

41061016932 has 96 divisors (see below), whose sum is σ = 105918650880. Its totient is φ = 12303083520.

The previous prime is 41061016921. The next prime is 41061016943. The reversal of 41061016932 is 23961016014.

It is an interprime number because it is at equal distance from previous prime (41061016921) and next prime (41061016943).

It is a super-2 number, since 2×410610169322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41061016893 and 41061016902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876832 + ... + 922472.

It is an arithmetic number, because the mean of its divisors is an integer number (1103319280).

Almost surely, 241061016932 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 41061016932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52959325440).

41061016932 is an abundant number, since it is smaller than the sum of its proper divisors (64857633948).

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

41061016932 is a wasteful number, since it uses less digits than its factorization.

41061016932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45813 (or 45811 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 41061016932 in words is "forty-one billion, sixty-one million, sixteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 79 146 156 158 219 237 292 316 438 474 876 948 949 1027 1898 2054 2847 3081 3796 4108 5694 5767 6162 11388 11534 12324 17301 23068 34602 45641 69204 74971 91282 136923 149942 182564 224913 273846 299884 449826 547692 593333 899652 1186666 1779999 2373332 3331793 3559998 3605639 6663586 7119996 7211278 9995379 10816917 13327172 14422556 19990758 21633834 39981516 43267668 43313309 46873307 86626618 93746614 129939927 140619921 173253236 187493228 259879854 263211647 281239842 519759708 526423294 562479684 789634941 1052846588 1579269882 3158539764 3421751411 6843502822 10265254233 13687005644 20530508466 41061016932