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47745729234 = 23373116572459
BaseRepresentation
bin101100011101110111…
…100000001011010010
311120020111000100111000
4230131313200023102
51240240401313414
633533432402430
73310120000530
oct543567401322
9146214010430
1047745729234
1119281246065
129305b46416
13466ba190b8
14244d1a7150
151396a07b09
hexb1dde02d2

47745729234 has 128 divisors (see below), whose sum is σ = 125297049600. Its totient is φ = 13188251520.

The previous prime is 47745729149. The next prime is 47745729257. The reversal of 47745729234 is 43292754774.

47745729234 is a `hidden beast` number, since 4 + 77 + 457 + 2 + 92 + 34 = 666.

47745729234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19415497 + ... + 19417955.

It is an arithmetic number, because the mean of its divisors is an integer number (978883200).

Almost surely, 247745729234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47745729234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62648524800).

47745729234 is an abundant number, since it is smaller than the sum of its proper divisors (77551320366).

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

47745729234 is a wasteful number, since it uses less digits than its factorization.

47745729234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4159 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 47745729234 in words is "forty-seven billion, seven hundred forty-five million, seven hundred twenty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1657 1674 1953 2459 3314 3906 4918 4971 5859 7377 9942 11599 11718 14754 14913 17213 22131 23198 29826 34426 34797 44262 44739 51367 51639 66393 69594 76229 89478 102734 103278 104391 132786 152458 154101 154917 208782 228687 308202 309834 313173 359569 457374 462303 464751 533603 626346 686061 719138 924606 929502 1067206 1078707 1372122 1386909 1600809 2058183 2157414 2773818 3201618 3236121 4074563 4116366 4802427 6472242 8149126 9604854 9708363 12223689 14407281 19416726 24447378 28521941 28814562 36671067 57043882 73342134 85565823 110013201 126311453 171131646 220026402 252622906 256697469 378934359 513394938 757868718 770092407 884180171 1136803077 1540184814 1768360342 2273606154 2652540513 3410409231 5305081026 6820818462 7957621539 15915243078 23872864617 47745729234