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132108378816 = 2636710269619
BaseRepresentation
bin111101100001001000…
…1011110001011000000
3110121222212012222122010
41323002101132023000
54131024221110231
6140404553012520
712354524456241
oct1730221361300
9417885188563
10132108378816
1151032810367
122172a9b4140
13c5c493736b
1465734d6cc8
153682ed3546
hex1ec245e2c0

132108378816 has 56 divisors (see below), whose sum is σ = 354753753280. Its totient is φ = 43378866432.

The previous prime is 132108378793. The next prime is 132108378839. The reversal of 132108378816 is 618873801231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132108378793) and next prime (132108378839).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5121946 + ... + 5147673.

Almost surely, 2132108378816 is an apocalyptic number.

132108378816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132108378816 is an abundant number, since it is smaller than the sum of its proper divisors (222645374464).

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

132108378816 is a wasteful number, since it uses less digits than its factorization.

132108378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269701 (or 10269691 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 132108378816 in words is "one hundred thirty-two billion, one hundred eight million, three hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 10269619 20539238 30808857 41078476 61617714 82156952 123235428 164313904 246470856 328627808 492941712 657255616 688064473 985883424 1376128946 1971766848 2064193419 2752257892 4128386838 5504515784 8256773676 11009031568 16513547352 22018063136 33027094704 44036126272 66054189408 132108378816