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245310414535152 = 243211875647254147
BaseRepresentation
bin110111110001101111001000…
…000111100011100111110000
31012011120110001120101102111100
4313301233020013203213300
5224123131212110111102
62225422014303044400
7102446043520221321
oct6761571007434760
91164513046342440
10245310414535152
117118862085961a
122361a9755a0700
13a6b5899297125
144481131c16448
151d5614812ea1c
hexdf1bc81e39f0

245310414535152 has 120 divisors (see below), whose sum is σ = 687231205030656. Its totient is φ = 81686460613248.

The previous prime is 245310414535141. The next prime is 245310414535159. The reversal of 245310414535152 is 251535414013542.

245310414535152 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 1 + 0 + 41 + 453 + 5 + 152 = 666.

It is a super-2 number, since 2×2453104145351522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245310414535098 and 245310414535107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245310414535159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965103343 + ... + 965357489.

Almost surely, 2245310414535152 is an apocalyptic number.

It is an amenable number.

245310414535152 is an abundant number, since it is smaller than the sum of its proper divisors (441920790495504).

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

245310414535152 is a wasteful number, since it uses less digits than its factorization.

245310414535152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260995 (or 260986 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 245310414535152 its reverse (251535414013542), we get a palindrome (496845828548694).

The spelling of 245310414535152 in words is "two hundred forty-five trillion, three hundred ten billion, four hundred fourteen million, five hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1187 2374 3561 4748 5647 7122 9496 10683 11294 14244 16941 18992 21366 22588 28488 33882 42732 45176 50823 56976 67764 85464 90352 101646 135528 170928 203292 254147 271056 406584 508294 762441 813168 1016588 1524882 2033176 2287323 3049764 4066352 4574646 6099528 6702989 9149292 12199056 13405978 18298584 20108967 26811956 36597168 40217934 53623912 60326901 80435868 107247824 120653802 160871736 241307604 301672489 321743472 482615208 603344978 905017467 965230416 1206689956 1435168109 1810034934 2413379912 2715052401 2870336218 3620069868 4305504327 4826759824 5430104802 5740672436 7240139736 8611008654 10860209604 11481344872 12916512981 14480279472 17222017308 21720419208 22962689744 25833025962 34444034616 43440838416 51666051924 68888069232 103332103848 206664207696 1703544545383 3407089090766 5110633636149 6814178181532 10221267272298 13628356363064 15331900908447 20442534544596 27256712726128 30663801816894 40885069089192 61327603633788 81770138178384 122655207267576 245310414535152