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54519580092672 = 283797378651
BaseRepresentation
bin11000110010101110101000…
…01101000110100100000000
321011001000120021110110000000
430121113110031012210000
524121222100000431142
6311541541020000000
714324624006354112
oct1431272415064400
9234030507413000
1054519580092672
111640a695704622
126146315090000
132456236052616
14d66a943893b2
156482a56c214c
hex3195d4346900

54519580092672 has 144 divisors (see below), whose sum is σ = 163214411044160. Its totient is φ = 18173193177600.

The previous prime is 54519580092671. The next prime is 54519580092689. The reversal of 54519580092672 is 27629008591545.

54519580092672 is a `hidden beast` number, since 5 + 4 + 519 + 58 + 0 + 0 + 9 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×545195800926722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54519580092671) 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, 48129454 + ... + 49249197.

Almost surely, 254519580092672 is an apocalyptic number.

It is an amenable number.

54519580092672 is an abundant number, since it is smaller than the sum of its proper divisors (108694830951488).

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

54519580092672 is an frugal number, since it uses more digits than its factorization.

54519580092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97378688 (or 97378656 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 54519580092672 in words is "fifty-four trillion, five hundred nineteen billion, five hundred eighty million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8748 10368 11664 15552 17496 20736 23328 31104 34992 46656 62208 69984 93312 139968 186624 279936 559872 97378651 194757302 292135953 389514604 584271906 779029208 876407859 1168543812 1558058416 1752815718 2337087624 2629223577 3116116832 3505631436 4674175248 5258447154 6232233664 7011262872 7887670731 9348350496 10516894308 12464467328 14022525744 15775341462 18696700992 21033788616 23663012193 24928934656 28045051488 31550682924 37393401984 42067577232 47326024386 56090102976 63101365848 70989036579 74786803968 84135154464 94652048772 112180205952 126202731696 141978073158 168270308928 189304097544 212967109737 224360411904 252405463392 283956146316 336540617856 378608195088 425934219474 504810926784 567912292632 673081235712 757216390176 851868438948 1009621853568 1135824585264 1514432780352 1703736877896 2019243707136 2271649170528 3028865560704 3407473755792 4543298341056 6057731121408 6814947511584 9086596682112 13629895023168 18173193364224 27259790046336 54519580092672