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21462155126412 = 223711132137440477
BaseRepresentation
bin1001110000101000011000…
…01000011110011010001100
32210222202120111021212112120
410320110030020132122030
510303113443203021122
6113351324500532540
74343406132362010
oct470241410363214
983882514255476
1021462155126412
11692505a0627a0
1224a76143b1150
13bc8b45c97500
14542ab9636540
1527342ea4e75c
hex13850c21e68c

21462155126412 has 144 divisors (see below), whose sum is σ = 67607520890112. Its totient is φ = 5145771421440.

The previous prime is 21462155126381. The next prime is 21462155126437.

21462155126412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68564083 + ... + 68876394.

It is an arithmetic number, because the mean of its divisors is an integer number (469496672848).

Almost surely, 221462155126412 is an apocalyptic number.

21462155126412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21462155126412 is an abundant number, since it is smaller than the sum of its proper divisors (46145365763700).

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

21462155126412 is a wasteful number, since it uses less digits than its factorization.

21462155126412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137440528 (or 137440513 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 21462155126412 in words is "twenty-one trillion, four hundred sixty-two billion, one hundred fifty-five million, one hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 364 429 462 507 546 572 676 858 924 1001 1014 1092 1183 1716 1859 2002 2028 2366 3003 3549 3718 4004 4732 5577 6006 7098 7436 11154 12012 13013 14196 22308 26026 39039 52052 78078 156156 137440477 274880954 412321431 549761908 824642862 962083339 1511845247 1649285724 1786726201 1924166678 2886250017 3023690494 3573452402 3848333356 4535535741 5360178603 5772500034 6047380988 7146904804 9071071482 10582916729 10720357206 11545000068 12507083407 18142142964 19653988211 21165833458 21440714412 23227440613 25014166814 31748750187 37521250221 39307976422 42331666916 46454881226 50028333628 58961964633 63497500374 69682321839 75042500442 78615952844 92909762452 117923929266 126995000748 137577917477 139364643678 150085000884 162592084291 235847858532 255501846743 275155834954 278729287356 325184168582 412733752431 487776252873 511003693486 550311669908 650368337164 766505540229 825467504862 975552505746 1022007386972 1533011080458 1650935009724 1788512927201 1951105011492 3066022160916 3577025854402 5365538781603 7154051708804 10731077563206 21462155126412