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13870852640 = 255737391607
BaseRepresentation
bin11001110101100010…
…00110101000100000
31022210200110022200222
430322301012220200
5211401414241030
610212220302212
71000506205421
oct147261065040
938720408628
1013870852640
115978809987
1228313a1968
131400931518
14958299648
15562b223e5
hex33ac46a20

13870852640 has 96 divisors (see below), whose sum is σ = 33284442240. Its totient is φ = 5461530624.

The previous prime is 13870852637. The next prime is 13870852643. The reversal of 13870852640 is 4625807831.

It is an interprime number because it is at equal distance from previous prime (13870852637) and next prime (13870852643).

It is a junction number, because it is equal to n+sod(n) for n = 13870852591 and 13870852600.

It is not an unprimeable number, because it can be changed into a prime (13870852643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8630717 + ... + 8632323.

It is an arithmetic number, because the mean of its divisors is an integer number (346712940).

Almost surely, 213870852640 is an apocalyptic number.

13870852640 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 13870852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642221120).

13870852640 is an abundant number, since it is smaller than the sum of its proper divisors (19413589600).

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

13870852640 is a wasteful number, since it uses less digits than its factorization.

13870852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 13870852640 in words is "thirteen billion, eight hundred seventy million, eight hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 739 1168 1460 1478 1607 2336 2920 2956 3214 3695 5840 5912 6428 7390 8035 11680 11824 12856 14780 16070 23648 25712 29560 32140 51424 53947 59120 64280 107894 117311 118240 128560 215788 234622 257120 269735 431576 469244 539470 586555 863152 938488 1078940 1173110 1187573 1726304 1876976 2157880 2346220 2375146 3753952 4315760 4692440 4750292 5937865 8631520 9384880 9500584 11875730 18769760 19001168 23751460 38002336 47502920 86692829 95005840 173385658 190011680 346771316 433464145 693542632 866928290 1387085264 1733856580 2774170528 3467713160 6935426320 13870852640