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1977195420468 = 2232412542352691
BaseRepresentation
bin11100110001011010000…
…001111101101100110100
321000000111011000011212100
4130301122001331230310
5224343244011423333
64112151103422100
7262563513530322
oct34613201755464
97000434004770
101977195420468
116a25842a6744
1227b23a8b4930
131145aab17c28
146b9a7d10d12
1536670e20213
hex1cc5a07db34

1977195420468 has 72 divisors (see below), whose sum is σ = 5120109461376. Its totient is φ = 642952886400.

The previous prime is 1977195420437. The next prime is 1977195420481. The reversal of 1977195420468 is 8640245917791.

1977195420468 is a `hidden beast` number, since 1 + 9 + 77 + 19 + 542 + 0 + 4 + 6 + 8 = 666.

It is a congruent number.

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, 37498003 + ... + 37550693.

It is an arithmetic number, because the mean of its divisors is an integer number (71112631408).

Almost surely, 21977195420468 is an apocalyptic number.

1977195420468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1977195420468 is an abundant number, since it is smaller than the sum of its proper divisors (3142914040908).

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

1977195420468 is a wasteful number, since it uses less digits than its factorization.

1977195420468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78165 (or 78160 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1977195420468 in words is "one trillion, nine hundred seventy-seven billion, one hundred ninety-five million, four hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 25423 50846 52691 76269 101692 105382 152538 158073 210764 228807 305076 316146 457614 474219 632292 915228 948438 1042343 1896876 2084686 2160331 3127029 4169372 4320662 6254058 6480993 8641324 9381087 12508116 12961986 18762174 19442979 25923972 37524348 38885958 77771916 1339563293 2679126586 4018689879 5358253172 8037379758 12056069637 16074759516 24112139274 48224278548 54922095013 109844190026 164766285039 219688380052 329532570078 494298855117 659065140156 988597710234 1977195420468