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102054413760 = 2635138177437
BaseRepresentation
bin101111100001011101…
…0101100010111000000
3100202102100101101010020
41133002322230113000
53133001412220020
6114514432133440
710242001126665
oct1370272542700
9322370341106
10102054413760
113a310068612
1217941997280
1398153291a0
144d21c41a6c
1529c4799c40
hex17c2eac5c0

102054413760 has 112 divisors (see below), whose sum is σ = 348947634336. Its totient is φ = 25121083392.

The previous prime is 102054413743. The next prime is 102054413831. The reversal of 102054413760 is 67314450201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4076239 + ... + 4101198.

It is an arithmetic number, because the mean of its divisors is an integer number (3115603878).

Almost surely, 2102054413760 is an apocalyptic number.

102054413760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102054413760 is an abundant number, since it is smaller than the sum of its proper divisors (246893220576).

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

102054413760 is a wasteful number, since it uses less digits than its factorization.

102054413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177470 (or 8177460 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 102054413760 its reverse (67314450201), we get a palindrome (169368863961).

The spelling of 102054413760 in words is "one hundred two billion, fifty-four million, four hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 8177437 16354874 24532311 32709748 40887185 49064622 65419496 81774370 98129244 106306681 122661555 130838992 163548740 196258488 212613362 245323110 261677984 318920043 327097480 392516976 425226724 490646220 523355968 531533405 637840086 654194960 785033952 850453448 981292440 1063066810 1275680172 1308389920 1570067904 1594600215 1700906896 1962584880 2126133620 2551360344 2616779840 3189200430 3401813792 3925169760 4252267240 5102720688 6378400860 6803627584 7850339520 8504534480 10205441376 12756801720 17009068960 20410882752 25513603440 34018137920 51027206880 102054413760