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1351055725056 = 2933731338803
BaseRepresentation
bin10011101010010001001…
…100100101001000000000
311210011022101201000101000
4103222101030211020000
5134113430231200211
62512355541012000
7166416264115632
oct23522114451000
94704271630330
101351055725056
11480a8580a094
12199a159b4000
139a5337b553b
144956a1b0a52
1525226307656
hex13a91325200

1351055725056 has 160 divisors (see below), whose sum is σ = 4054005616320. Its totient is φ = 444182372352.

The previous prime is 1351055725039. The next prime is 1351055725081. The reversal of 1351055725056 is 6505275501531.

1351055725056 is a `hidden beast` number, since 1 + 35 + 10 + 557 + 2 + 5 + 0 + 56 = 666.

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, 339751 + ... + 1678553.

It is an arithmetic number, because the mean of its divisors is an integer number (25337535102).

Almost surely, 21351055725056 is an apocalyptic number.

1351055725056 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 1351055725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027002808160).

1351055725056 is an abundant number, since it is smaller than the sum of its proper divisors (2702949891264).

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

1351055725056 is an equidigital number, since it uses as much as digits as its factorization.

1351055725056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338903 (or 1338881 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 1351055725056 in words is "one trillion, three hundred fifty-one billion, fifty-five million, seven hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 512 576 584 657 768 864 876 1152 1168 1314 1536 1728 1752 1971 2304 2336 2628 3456 3504 3942 4608 4672 5256 6912 7008 7884 9344 10512 13824 14016 15768 18688 21024 28032 31536 37376 42048 56064 63072 84096 112128 126144 168192 252288 336384 504576 1009152 1338803 2677606 4016409 5355212 8032818 10710424 12049227 16065636 21420848 24098454 32131272 36147681 42841696 48196908 64262544 72295362 85683392 96393816 97732619 128525088 144590724 171366784 192787632 195465238 257050176 289181448 293197857 342733568 385575264 390930476 514100352 578362896 586395714 685467136 771150528 781860952 879593571 1028200704 1156725792 1172791428 1542301056 1563721904 1759187142 2056401408 2313451584 2345582856 2638780713 3084602112 3127443808 3518374284 4626903168 4691165712 5277561426 6169204224 6254887616 7036748568 9253806336 9382331424 10555122852 12509775232 14073497136 18507612672 18764662848 21110245704 25019550464 28146994272 37529325696 42220491408 50039100928 56293988544 75058651392 84440982816 112587977088 150117302784 168881965632 225175954176 337763931264 450351908352 675527862528 1351055725056