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47681010435740 = 225111013947922571
BaseRepresentation
bin10101101011101100110011…
…01100001000011010011100
320020211021000121011120102212
422311312121230020122130
522222201202132420430
6245224204230535552
713020560613360323
oct1265663154103234
9206737017146385
1047681010435740
1114213448393350
125420a95b075b8
13207b3b9107566
14babab79d70ba
1557a45c2eab95
hex2b5d99b0869c

47681010435740 has 96 divisors (see below), whose sum is σ = 109357071183360. Its totient is φ = 17318838521600.

The previous prime is 47681010435713. The next prime is 47681010435743. The reversal of 47681010435740 is 4753401018674.

47681010435740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47681010435743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2112478655 + ... + 2112501225.

It is an arithmetic number, because the mean of its divisors is an integer number (1139136158160).

Almost surely, 247681010435740 is an apocalyptic number.

It is an amenable number.

47681010435740 is an abundant number, since it is smaller than the sum of its proper divisors (61676060747620).

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

47681010435740 is a wasteful number, since it uses less digits than its factorization.

47681010435740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33083 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 47681010435740 in words is "forty-seven trillion, six hundred eighty-one billion, ten million, four hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1013 2026 4052 5065 9479 10130 11143 18958 20260 22286 22571 37916 44572 45142 47395 55715 90284 94790 104269 111430 112855 189580 208538 222860 225710 248281 417076 451420 496562 521345 993124 1042690 1241405 2085380 2482810 4965620 9602227 19204454 22864423 38408908 45728846 48011135 91457692 96022270 105624497 114322115 192044540 211248994 213950509 228644230 251508653 422497988 427901018 457288460 503017306 528122485 855802036 1006034612 1056244970 1069752545 1257543265 2112489940 2139505090 2353455599 2515086530 4279010180 4706911198 5030173060 9413822396 11767277995 23534555990 47069111980 216731865617 433463731234 866927462468 1083659328085 2167318656170 2384050521787 4334637312340 4768101043574 9536202087148 11920252608935 23840505217870 47681010435740