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4074920232336 = 243352129996037
BaseRepresentation
bin111011010011000100001…
…011000100010110010000
3112102120002012022211201000
4323103010023010112100
51013230414034413321
612355554214342000
7600255215322342
oct73230413042620
915376065284630
104074920232336
111331189269058
125598b665a900
132373566c3265
141013275b1292
1570ee8517826
hex3b4c42c4590

4074920232336 has 160 divisors (see below), whose sum is σ = 11724829920000. Its totient is φ = 1355023088640.

The previous prime is 4074920232323. The next prime is 4074920232349. The reversal of 4074920232336 is 6332320294704.

4074920232336 is a `hidden beast` number, since 40 + 7 + 49 + 2 + 0 + 232 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (4074920232323) and next prime (4074920232349).

It is a junction number, because it is equal to n+sod(n) for n = 4074920232291 and 4074920232300.

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 31 ways as a sum of consecutive naturals, for example, 674987910 + ... + 674993946.

It is an arithmetic number, because the mean of its divisors is an integer number (73280187000).

Almost surely, 24074920232336 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 4074920232336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862414960000).

4074920232336 is an abundant number, since it is smaller than the sum of its proper divisors (7649909687664).

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

4074920232336 is a wasteful number, since it uses less digits than its factorization.

4074920232336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 4074920232336 in words is "four trillion, seventy-four billion, nine hundred twenty million, two hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 521 1042 1563 2084 2999 3126 4168 4689 5998 6037 6252 8336 8997 9378 11996 12074 12504 14067 17994 18111 18756 23992 24148 25008 26991 28134 35988 36222 37512 47984 48296 53982 54333 56268 71976 72444 75024 80973 96592 107964 108666 112536 143952 144888 161946 162999 215928 217332 225072 289776 323892 325998 431856 434664 647784 651996 869328 1295568 1303992 1562479 2607984 3124958 3145277 4687437 6249916 6290554 9374874 9435831 12499832 12581108 14062311 18104963 18749748 18871662 24999664 25162216 28124622 28307493 36209926 37499496 37743324 42186933 50324432 54314889 56249244 56614986 72419852 74998992 75486648 84373866 84922479 108629778 112498488 113229972 144839704 150973296 162944667 168747732 169844958 217259556 224996976 226459944 289679408 325889334 337495464 339689916 434519112 452919888 488834001 651778668 674990928 679379832 869038224 977668002 1303557336 1358759664 1955336004 2607114672 3910672008 7821344016 9432685723 18865371446 28298057169 37730742892 56596114338 75461485784 84894171507 113192228676 150922971568 169788343014 226384457352 254682514521 339576686028 452768914704 509365029042 679153372056 1018730058084 1358306744112 2037460116168 4074920232336