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161921457024 = 2738311344959
BaseRepresentation
bin1001011011001101000…
…1010101101110000000
3120110221120210021111220
42112303101111232000
510123103343111044
6202215150435040
714461364450505
oct2266321255600
9513846707456
10161921457024
1162741494278
122746b202a80
1312366373b42
147ba0ba54ac
15432a4d8019
hex25b3455b80

161921457024 has 128 divisors (see below), whose sum is σ = 439147699200. Its totient is φ = 52850466816.

The previous prime is 161921456999. The next prime is 161921457097. The reversal of 161921457024 is 420754129161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579057 + ... + 3624015.

It is an arithmetic number, because the mean of its divisors is an integer number (3430841400).

Almost surely, 2161921457024 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 161921457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219573849600).

161921457024 is an abundant number, since it is smaller than the sum of its proper divisors (277226242176).

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

161921457024 is a wasteful number, since it uses less digits than its factorization.

161921457024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45172 (or 45160 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 161921457024 in words is "one hundred sixty-one billion, nine hundred twenty-one million, four hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 113 128 166 192 226 249 332 339 384 452 498 664 678 904 996 1328 1356 1808 1992 2656 2712 3616 3984 5312 5424 7232 7968 9379 10624 10848 14464 15936 18758 21696 28137 31872 37516 43392 44959 56274 75032 89918 112548 134877 150064 179836 225096 269754 300128 359672 450192 539508 600256 719344 900384 1079016 1200512 1438688 1800768 2158032 2877376 3601536 3731597 4316064 5080367 5754752 7463194 8632128 10160734 11194791 14926388 15241101 17264256 20321468 22389582 29852776 30482202 40642936 44779164 59705552 60964404 81285872 89558328 119411104 121928808 162571744 179116656 238822208 243857616 325143488 358233312 421670461 477644416 487715232 650286976 716466624 843340922 975430464 1265011383 1432933248 1686681844 1950860928 2530022766 3373363688 5060045532 6746727376 10120091064 13493454752 20240182128 26986909504 40480364256 53973819008 80960728512 161921457024