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102492143616 = 2173260651
BaseRepresentation
bin101111101110100000…
…0100000000000000000
3100210112212001100121010
41133131000200000000
53134400442043431
6115030110200520
710255564563222
oct1373500400000
9323485040533
10102492143616
113a515163525
1217a444b3140
139884c1ac35
144d64028412
1529ece12846
hex17dd020000

102492143616 has 72 divisors (see below), whose sum is σ = 273312388944. Its totient is φ = 34163916800.

The previous prime is 102492143609. The next prime is 102492143639. The reversal of 102492143616 is 616341294201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262891 + ... + 523541.

It is an arithmetic number, because the mean of its divisors is an integer number (3796005402).

Almost surely, 2102492143616 is an apocalyptic number.

102492143616 is a gapful number since it is divisible by the number (16) 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 102492143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136656194472).

102492143616 is an abundant number, since it is smaller than the sum of its proper divisors (170820245328).

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

102492143616 is an frugal number, since it uses more digits than its factorization.

102492143616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260688 (or 260656 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 102492143616 in words is "one hundred two billion, four hundred ninety-two million, one hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 260651 393216 521302 781953 1042604 1563906 2085208 3127812 4170416 6255624 8340832 12511248 16681664 25022496 33363328 50044992 66726656 100089984 133453312 200179968 266906624 400359936 533813248 800719872 1067626496 1601439744 2135252992 3202879488 4270505984 6405758976 8541011968 12811517952 17082023936 25623035904 34164047872 51246071808 102492143616