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4113954943872 = 27337302395783
BaseRepresentation
bin111011110111011010110…
…100101011001110000000
3112120021211121000122100220
4323313122310223032000
51014400334431200442
612425531431543040
7603136432023144
oct73673264531600
915507747018326
104113954943872
11134679a351634
1256538b22aa80
1323ac3779ccc7
1410318b8a9224
15720303c7eec
hex3bddad2b380

4113954943872 has 128 divisors (see below), whose sum is σ = 11226865628160. Its totient is φ = 1333800364032.

The previous prime is 4113954943853. The next prime is 4113954943883. The reversal of 4113954943872 is 2783494593114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42902893 + ... + 42998675.

It is an arithmetic number, because the mean of its divisors is an integer number (87709887720).

Almost surely, 24113954943872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113954943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613432814080).

4113954943872 is an abundant number, since it is smaller than the sum of its proper divisors (7112910684288).

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

4113954943872 is a wasteful number, since it uses less digits than its factorization.

4113954943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98860 (or 98848 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 4113954943872 in words is "four trillion, one hundred thirteen billion, nine hundred fifty-four million, nine hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3023 3552 4736 6046 7104 9069 12092 14208 18138 24184 36276 48368 72552 95783 96736 111851 145104 191566 193472 223702 287349 290208 335553 383132 386944 447404 574698 580416 671106 766264 894808 1149396 1160832 1342212 1532528 1789616 2298792 2684424 3065056 3543971 3579232 4597584 5368848 6130112 7087942 7158464 9195168 10631913 10737696 12260224 14175884 14316928 18390336 21263826 21475392 28351768 36780672 42527652 42950784 56703536 85055304 113407072 170110608 226814144 289552009 340221216 453628288 579104018 680442432 868656027 1158208036 1360884864 1737312054 2316416072 3474624108 4632832144 6949248216 9265664288 10713424333 13898496432 18531328576 21426848666 27796992864 32140272999 37062657152 42853697332 55593985728 64280545998 85707394664 111187971456 128561091996 171414789328 257122183992 342829578656 514244367984 685659157312 1028488735968 1371318314624 2056977471936 4113954943872