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13649130918 = 23217592413137
BaseRepresentation
bin11001011011000110…
…10011010110100110
31022020020020200200100
430231203103112212
5210423134142133
610134220124530
7662144461413
oct145543232646
938206220610
1013649130918
115874640095
12278b096746
131396a10237
14936a6110a
1554d426e13
hex32d8d35a6

13649130918 has 96 divisors (see below), whose sum is σ = 31985759520. Its totient is φ = 4190699520.

The previous prime is 13649130917. The next prime is 13649130919. The reversal of 13649130918 is 81903194631.

It is an interprime number because it is at equal distance from previous prime (13649130917) and next prime (13649130919).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649130917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4349446 + ... + 4352582.

It is an arithmetic number, because the mean of its divisors is an integer number (333184995).

Almost surely, 213649130918 is an apocalyptic number.

13649130918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13649130918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992879760).

13649130918 is an abundant number, since it is smaller than the sum of its proper divisors (18336628602).

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

13649130918 is a wasteful number, since it uses less digits than its factorization.

13649130918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13649130918 in words is "thirteen billion, six hundred forty-nine million, one hundred thirty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 241 306 354 482 531 723 1003 1062 1446 2006 2169 3009 3137 4097 4338 6018 6274 8194 9027 9411 12291 14219 18054 18822 24582 28233 28438 36873 42657 53329 56466 73746 85314 106658 127971 159987 185083 241723 255942 319974 370166 479961 483446 555249 725169 756017 959922 1110498 1450338 1512034 1665747 2175507 2268051 3146411 3331494 4351014 4536102 6292822 6804153 9439233 12852289 13608306 18878466 25704578 28317699 38556867 44605003 56635398 77113734 89210006 115670601 133815009 231341202 267630018 401445027 758285051 802890054 1516570102 2274855153 4549710306 6824565459 13649130918