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56145054351210 = 235111941272169749
BaseRepresentation
bin11001100010000010010100…
…00001010011111101101010
321100210102012101001100012020
430301001022001103331222
524324340032403214320
6315224403142325310
714553226533525366
oct1461011201237552
9240712171040166
1056145054351210
1116986a90534540
126369355129836
1325435c0823406
14dc1613dd42a6
156756dd409940
hex33104a053f6a

56145054351210 has 128 divisors (see below), whose sum is σ = 154772259840000. Its totient is φ = 12891427557120.

The previous prime is 56145054351107. The next prime is 56145054351227. The reversal of 56145054351210 is 1215345054165.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24791416 + ... + 26961164.

It is an arithmetic number, because the mean of its divisors is an integer number (1209158280000).

Almost surely, 256145054351210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56145054351210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77386129920000).

56145054351210 is an abundant number, since it is smaller than the sum of its proper divisors (98627205488790).

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

56145054351210 is a wasteful number, since it uses less digits than its factorization.

56145054351210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173916.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 56145054351210 in words is "fifty-six trillion, one hundred forty-five billion, fifty-four million, three hundred fifty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 4127 6270 8254 12381 20635 24762 41270 45397 61905 78413 90794 123810 136191 156826 226985 235239 272382 392065 453970 470478 680955 784130 862543 1176195 1361910 1725086 2169749 2352390 2587629 4312715 4339498 5175258 6509247 8625430 10848745 12938145 13018494 21697490 23867239 25876290 32546235 41225231 47734478 65092470 71601717 82450462 119336195 123675693 143203434 206126155 238672390 247351386 358008585 412252310 453477541 618378465 716017170 906955082 1236756930 1360432623 2267387705 2720865246 4534775410 6802163115 8954554123 13604326230 17909108246 26863662369 44772770615 53727324738 89545541230 98500095353 134318311845 170136528337 197000190706 268636623690 295500286059 340273056674 492500476765 510409585011 591000572118 850682641685 985000953530 1020819170022 1477501430295 1701365283370 1871501811707 2552047925055 2955002860590 3743003623414 5104095850110 5614505435121 9357509058535 11229010870242 18715018117070 28072527175605 56145054351210