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13901085520 = 2457199713469
BaseRepresentation
bin11001111001001000…
…11011101101010000
31022212210100022102021
430330210123231100
5211432134214040
610215220301224
71001324164060
oct147444335520
938783308367
1013901085520
115993889333
12283b541814
131406c884ba
1495c2c93a0
155655e524a
hex33c91bb50

13901085520 has 160 divisors (see below), whose sum is σ = 39284985600. Its totient is φ = 4468359168.

The previous prime is 13901085433. The next prime is 13901085551. The reversal of 13901085520 is 2558010931.

13901085520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1025346 + ... + 1038814.

It is an arithmetic number, because the mean of its divisors is an integer number (245531160).

Almost surely, 213901085520 is an apocalyptic number.

13901085520 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 13901085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642492800).

13901085520 is an abundant number, since it is smaller than the sum of its proper divisors (25383900080).

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

13901085520 is a wasteful number, since it uses less digits than its factorization.

13901085520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13605 (or 13599 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 13901085520 in words is "thirteen billion, nine hundred one million, eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 97 112 133 140 152 190 194 266 280 304 380 388 485 532 560 665 679 760 776 970 1064 1330 1358 1520 1552 1843 1940 2128 2660 2716 3395 3686 3880 5320 5432 6790 7372 7760 9215 10640 10864 12901 13469 13580 14744 18430 25802 26938 27160 29488 36860 51604 53876 54320 64505 67345 73720 94283 103208 107752 129010 134690 147440 188566 206416 215504 255911 258020 269380 377132 471415 511822 516040 538760 754264 942830 1023644 1032080 1077520 1279555 1306493 1508528 1791377 1885660 2047288 2559110 2612986 3582754 3771320 4094576 5118220 5225972 6532465 7165508 7542640 8956885 9145451 10236440 10451944 13064930 14331016 17913770 18290902 20472880 20903888 24823367 26129860 28662032 35827540 36581804 45727255 49646734 52259720 71655080 73163608 91454510 99293468 104519440 124116835 143310160 146327216 173763569 182909020 198586936 248233670 347527138 365818040 397173872 496467340 695054276 731636080 868817845 992934680 1390108552 1737635690 1985869360 2780217104 3475271380 6950542760 13901085520