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427382780500152 = 23333922135044769
BaseRepresentation
bin110000100101100111100111…
…0110100001001100010111000
32002001020101122210201202002000
41201023033032310021202320
5422004214413302001102
64112544534445141000
7156010246500543141
oct14113171664114270
92061211583652060
10427382780500152
111141a5023823264
123bb2579055a760
131546203c181179
147777618da4ac8
1534623184c801c
hex184b3ced098b8

427382780500152 has 64 divisors (see below), whose sum is σ = 1187177652468000. Its totient is φ = 142460535370752.

The previous prime is 427382780500007. The next prime is 427382780500189. The reversal of 427382780500152 is 251005087283724.

427382780500152 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 8 + 2 + 7 + 80 + 500 + 1 + 52 = 666.

It is a super-2 number, since 2×4273827805001522 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82195624 + ... + 87240392.

Almost surely, 2427382780500152 is an apocalyptic number.

It is an amenable number.

427382780500152 is an abundant number, since it is smaller than the sum of its proper divisors (759794871967848).

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

427382780500152 is a wasteful number, since it uses less digits than its factorization.

427382780500152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436997 (or 5436987 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 427382780500152 in words is "four hundred twenty-seven trillion, three hundred eighty-two billion, seven hundred eighty million, five hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 392213 784426 1176639 1568852 2353278 3137704 3529917 4706556 5044769 7059834 9413112 10089538 10589751 14119668 15134307 20179076 21179502 28239336 30268614 40358152 42359004 45402921 60537228 84718008 90805842 121074456 136208763 181611684 272417526 363223368 544835052 1089670104 1978623983797 3957247967594 5935871951391 7914495935188 11871743902782 15828991870376 17807615854173 23743487805564 35615231708346 47486975611128 53422847562519 71230463416692 106845695125038 142460926833384 213691390250076 427382780500152