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125484465840 = 2435799077297
BaseRepresentation
bin111010011011101110…
…1001111111010110000
3102222220020011100020220
41310313131033322300
54023443010401330
6133351411333040
712031423234506
oct1646735177260
9388806140226
10125484465840
1149243789518
12203a05b1180
13baaa51c526
1461058b8676
1533e6707710
hex1d3774feb0

125484465840 has 160 divisors (see below), whose sum is σ = 394414279680. Its totient is φ = 32997998592.

The previous prime is 125484465833. The next prime is 125484465859. The reversal of 125484465840 is 48564484521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17193072 + ... + 17200368.

It is an arithmetic number, because the mean of its divisors is an integer number (2465089248).

Almost surely, 2125484465840 is an apocalyptic number.

125484465840 is a gapful number since it is divisible by the number (10) 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 125484465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197207139840).

125484465840 is an abundant number, since it is smaller than the sum of its proper divisors (268929813840).

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

125484465840 is a wasteful number, since it uses less digits than its factorization.

125484465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 125484465840 in words is "one hundred twenty-five billion, four hundred eighty-four million, four hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 907 948 1185 1264 1580 1814 1896 2370 2721 3160 3628 3792 4535 4740 5442 6320 7256 7297 9070 9480 10884 13605 14512 14594 18140 18960 21768 21891 27210 29188 36280 36485 43536 43782 54420 58376 71653 72560 72970 87564 108840 109455 116752 143306 145940 175128 214959 217680 218910 286612 291880 350256 358265 429918 437820 573224 576463 583760 716530 859836 875640 1074795 1146448 1152926 1433060 1719672 1729389 1751280 2149590 2305852 2866120 2882315 3439344 3458778 4299180 4611704 5732240 5764630 6618379 6917556 8598360 8646945 9223408 11529260 13236758 13835112 17196720 17293890 19855137 23058520 26473516 27670224 33091895 34587780 39710274 46117040 52947032 66183790 69175560 79420548 99275685 105894064 132367580 138351120 158841096 198551370 264735160 317682192 397102740 522851941 529470320 794205480 1045703882 1568555823 1588410960 2091407764 2614259705 3137111646 4182815528 5228519410 6274223292 7842779115 8365631056 10457038820 12548446584 15685558230 20914077640 25096893168 31371116460 41828155280 62742232920 125484465840