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2147831436432 = 243117189643751
BaseRepresentation
bin11111010000010100101…
…110101101010010010000
321121022221001202220212110
4133100110232231102100
5240142224321431212
64322411121425320
7311114156660403
oct37202456552220
97538831686773
102147831436432
11758987941040
122a832049b240
1312770276ac06
1475d54227d3a
153ad0b4eea3c
hex1f414bad490

2147831436432 has 160 divisors (see below), whose sum is σ = 6207211284480. Its totient is φ = 634480000000.

The previous prime is 2147831436349. The next prime is 2147831436451. The reversal of 2147831436432 is 2346341387412.

It is a super-2 number, since 2×21478314364322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3014557 + ... + 3658307.

It is an arithmetic number, because the mean of its divisors is an integer number (38795070528).

Almost surely, 22147831436432 is an apocalyptic number.

2147831436432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147831436432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103605642240).

2147831436432 is an abundant number, since it is smaller than the sum of its proper divisors (4059379848048).

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

2147831436432 is a wasteful number, since it uses less digits than its factorization.

2147831436432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643933 (or 643927 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 2147831436432 in words is "two trillion, one hundred forty-seven billion, eight hundred thirty-one million, four hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 89 132 142 176 178 213 264 267 284 356 426 528 534 568 712 781 852 979 1068 1136 1424 1562 1704 1958 2136 2343 2937 3124 3408 3916 4272 4686 5874 6248 6319 7832 9372 11748 12496 12638 15664 18744 18957 23496 25276 37488 37914 46992 50552 69509 75828 101104 139018 151656 208527 278036 303312 417054 556072 643751 834108 1112144 1287502 1668216 1931253 2575004 3336432 3862506 5150008 7081261 7725012 10300016 14162522 15450024 21243783 28325044 30900048 42487566 45706321 56650088 57293839 84975132 91412642 113300176 114587678 137118963 169950264 171881517 182825284 229175356 274237926 339900528 343763034 365650568 458350712 502769531 548475852 630232229 687526068 731301136 916701424 1005539062 1096951704 1260464458 1375052136 1508308593 1890696687 2011078124 2193903408 2520928916 2750104272 3016617186 3781393374 4022156248 4067862569 5041857832 6033234372 7562786748 8044312496 8135725138 10083715664 12066468744 12203587707 15125573496 16271450276 24132937488 24407175414 30251146992 32542900552 44746488259 48814350828 65085801104 89492976518 97628701656 134239464777 178985953036 195257403312 268478929554 357971906072 536957859108 715943812144 1073915718216 2147831436432