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42460545501 = 32114110995971
BaseRepresentation
bin100111100010110110…
…001000000111011101
311001121011000012101100
4213202312020013131
51143424344424001
631301152503313
73032132452563
oct474266100735
9131534005340
1042460545501
1117009964320
12828bb4ab39
134008a7954a
1420ab2aba33
151187a1c586
hex9e2d881dd

42460545501 has 48 divisors (see below), whose sum is σ = 69168939840. Its totient is φ = 24875424000.

The previous prime is 42460545497. The next prime is 42460545503. The reversal of 42460545501 is 10554506424.

42460545501 is a `hidden beast` number, since 4 + 2 + 4 + 60 + 545 + 50 + 1 = 666.

42460545501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42460545501 - 22 = 42460545497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460545503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394446 + ... + 490416.

It is an arithmetic number, because the mean of its divisors is an integer number (1441019580).

Almost surely, 242460545501 is an apocalyptic number.

42460545501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42460545501 is a deficient number, since it is larger than the sum of its proper divisors (26708394339).

42460545501 is a wasteful number, since it uses less digits than its factorization.

42460545501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96138 (or 96135 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42460545501 in words is "forty-two billion, four hundred sixty million, five hundred forty-five thousand, five hundred one".

Divisors: 1 3 9 11 33 41 99 109 123 327 369 451 981 1199 1353 3597 4059 4469 10791 13407 40221 49159 95971 147477 287913 442431 863739 1055681 3167043 3934811 9501129 10460839 11804433 31382517 35413299 43282921 94147551 115069229 129848763 345207687 389546289 428894399 1035623061 1286683197 3860049591 4717838389 14153515167 42460545501