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106915401736 = 231113331282349
BaseRepresentation
bin110001110010010100…
…1111001000000001000
3101012222010012011000221
41203210221321000020
53222430320323421
6121041040035424
710503314630413
oct1434451710010
9335863164027
10106915401736
1141384a58850
1218879902b74
13a10b435330
145263678b7a
152bab3e2841
hex18e4a79008

106915401736 has 64 divisors (see below), whose sum is σ = 236225304000. Its totient is φ = 44723923200.

The previous prime is 106915401731. The next prime is 106915401751. The reversal of 106915401736 is 637104519601.

It is a super-2 number, since 2×1069154017362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106915401692 and 106915401701.

It is not an unprimeable number, because it can be changed into a prime (106915401731) 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, 237490 + ... + 519838.

It is an arithmetic number, because the mean of its divisors is an integer number (3691020375).

Almost surely, 2106915401736 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 106915401736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118112652000).

106915401736 is an abundant number, since it is smaller than the sum of its proper divisors (129309902264).

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

106915401736 is a wasteful number, since it uses less digits than its factorization.

106915401736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282710 (or 282706 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 106915401736 in words is "one hundred six billion, nine hundred fifteen million, four hundred one thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 331 572 662 1144 1324 2648 3641 4303 7282 8606 14564 17212 29128 34424 47333 94666 189332 282349 378664 564698 1129396 2258792 3105839 3670537 6211678 7341074 12423356 14682148 24846712 29364296 40375907 80751814 93457519 161503628 186915038 323007256 373830076 747660152 1028032709 1214947747 2056065418 2429895494 4112130836 4859790988 8224261672 9719581976 13364425217 26728850434 53457700868 106915401736