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461163985136 = 24298397123449
BaseRepresentation
bin1101011010111111000…
…00111111100011110000
31122002100022101202011122
412231133200333203300
530023430440011021
6551504504401412
745214034124251
oct6553740774360
91562308352148
10461163985136
11168640057748
1275462a76268
133464529001a
141846b48cb28
15bee1420bab
hex6b5f83f8f0

461163985136 has 80 divisors (see below), whose sum is σ = 945103572000. Its totient is φ = 217679314944.

The previous prime is 461163985123. The next prime is 461163985153. The reversal of 461163985136 is 631589361164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3673940 + ... + 3797388.

It is an arithmetic number, because the mean of its divisors is an integer number (11813794650).

Almost surely, 2461163985136 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 461163985136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472551786000).

461163985136 is an abundant number, since it is smaller than the sum of its proper divisors (483939586864).

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

461163985136 is a wasteful number, since it uses less digits than its factorization.

461163985136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123666 (or 123660 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 53.

The spelling of 461163985136 in words is "four hundred sixty-one billion, one hundred sixty-three million, nine hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 83 97 116 166 194 232 332 388 464 664 776 1328 1552 2407 2813 4814 5626 8051 9628 11252 16102 19256 22504 32204 38512 45008 64408 123449 128816 233479 246898 466958 493796 933916 987592 1867832 1975184 3580021 3735664 7160042 10246267 11974553 14320084 20492534 23949106 28640168 40985068 47898212 57280336 81970136 95796424 163940272 191592848 297141743 347262037 594283486 694524074 993887899 1188566972 1389048148 1987775798 2377133944 2778096296 3975551596 4754267888 5556192592 7951103192 15902206384 28822749071 57645498142 115290996284 230581992568 461163985136