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21348936554064 = 2437279114897833
BaseRepresentation
bin1001101101010101011111…
…10001111001011001010000
32210120221100002120110221020
410312222233301321121100
510244240110224212224
6113223322133555440
74332260356366500
oct466525761713120
983527302513836
1021348936554064
116891040134639
1224896977a5b80
13bbb271a28432
1453b418bd1a00
152705050dac79
hex136aafc79650

21348936554064 has 120 divisors (see below), whose sum is σ = 64967831256960. Its totient is φ = 6022484762112.

The previous prime is 21348936554059. The next prime is 21348936554123. The reversal of 21348936554064 is 46045563984312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21348936553989 and 21348936554007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57263109 + ... + 57634724.

It is an arithmetic number, because the mean of its divisors is an integer number (541398593808).

Almost surely, 221348936554064 is an apocalyptic number.

21348936554064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21348936554064 is an abundant number, since it is smaller than the sum of its proper divisors (43618894702896).

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

21348936554064 is a wasteful number, since it uses less digits than its factorization.

21348936554064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114897937 (or 114897924 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 21348936554064 in words is "twenty-one trillion, three hundred forty-eight billion, nine hundred thirty-six million, five hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 13272 15484 23226 26544 30968 46452 61936 92904 185808 114897833 229795666 344693499 459591332 689386998 804284831 919182664 1378773996 1608569662 1838365328 2412854493 2757547992 3217139324 4825708986 5515095984 5629993817 6434278648 9076928807 9651417972 11259987634 12868557296 16889981451 18153857614 19302835944 22519975268 27230786421 33779962902 36307715228 38605671888 45039950536 54461572842 63538501649 67559925804 72615430456 90079901072 108923145684 127077003298 135119851608 145230860912 190615504947 217846291368 254154006596 270239703216 381231009894 435692582736 444769511543 508308013192 762462019788 889539023086 1016616026384 1334308534629 1524924039576 1779078046172 2668617069258 3049848079152 3558156092344 5337234138516 7116312184688 10674468277032 21348936554064