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23487344378432 = 2611314722898219
BaseRepresentation
bin1010101011100100100101…
…10100011000001001000000
310002011100221102011022021122
411111302102310120021000
511034304040130102212
6121541534223011412
74642622201112434
oct525622264301100
9102140842138248
1023487344378432
117535a21651430
122774008139b68
131014b0202821c
145b2b176549c4
152aae5e134272
hex155c92d18240

23487344378432 has 112 divisors (see below), whose sum is σ = 53601618862080. Its totient is φ = 10111853068800.

The previous prime is 23487344378417. The next prime is 23487344378471.

23487344378432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234873443784322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10423382 + ... + 12474837.

Almost surely, 223487344378432 is an apocalyptic number.

23487344378432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23487344378432 is an abundant number, since it is smaller than the sum of its proper divisors (30114274483648).

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

23487344378432 is a wasteful number, since it uses less digits than its factorization.

23487344378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898320 (or 22898310 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 62.

The spelling of 23487344378432 in words is "twenty-three trillion, four hundred eighty-seven billion, three hundred forty-four million, three hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 64 88 94 124 176 188 248 341 352 376 496 517 682 704 752 992 1034 1364 1457 1504 1984 2068 2728 2914 3008 4136 5456 5828 8272 10912 11656 16027 16544 21824 23312 32054 33088 46624 64108 93248 128216 256432 512864 1025728 22898219 45796438 91592876 183185752 251880409 366371504 503760818 709844789 732743008 1007521636 1076216293 1419689578 1465486016 2015043272 2152432586 2839379156 4030086544 4304865172 5678758312 7808292679 8060173088 8609730344 11357516624 11838379223 15616585358 16120346176 17219460688 22715033248 23676758446 31233170716 33362705083 34438921376 45430066496 47353516892 62466341432 66725410166 68877842752 94707033784 124932682864 133450820332 189414067568 249865365728 266901640664 366989755913 378828135136 499730731456 533803281328 733979511826 757656270272 1067606562656 1467959023652 2135213125312 2935918047304 5871836094608 11743672189216 23487344378432