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2139417972 = 2232173495781
BaseRepresentation
bin111111110000100…
…1110110101110100
312112002200200201200
41333201032311310
513340142333342
6552143052500
7104005516116
oct17741166564
95462620650
102139417972
119a871142a
124b85a1130
1328130c7c3
141641cb3b6
15c7c5194c
hex7f84ed74

2139417972 has 36 divisors (see below), whose sum is σ = 5726090916. Its totient is φ = 671189760.

The previous prime is 2139417971. The next prime is 2139417983. The reversal of 2139417972 is 2797149312.

2139417972 is a `hidden beast` number, since 21 + 394 + 179 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1858989456 + 280428516 = 43116^2 + 16746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139417971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747279 + ... + 1748502.

It is an arithmetic number, because the mean of its divisors is an integer number (159058081).

Almost surely, 22139417972 is an apocalyptic number.

It is an amenable number.

2139417972 is an abundant number, since it is smaller than the sum of its proper divisors (3586672944).

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

2139417972 is a wasteful number, since it uses less digits than its factorization.

2139417972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495808 (or 3495803 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 2139417972 is about 46253.8427808977. The cubic root of 2139417972 is about 1288.5419039941.

The spelling of 2139417972 in words is "two billion, one hundred thirty-nine million, four hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3495781 6991562 10487343 13983124 20974686 31462029 41949372 59428277 62924058 118856554 125848116 178284831 237713108 356569662 534854493 713139324 1069708986 2139417972