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157071705600048 = 24319792039381083
BaseRepresentation
bin100011101101101100011011…
…001101110111000000110000
3202121010220112020011200002120
4203231230123031313000300
5131041430323113200143
61314021425001314240
745041025201441261
oct4355543315670060
9677126466150076
10157071705600048
1146058810a62198
1215749670495980
136984a4ba99385
142ab044d9aa968
151325bded4c383
hex8edb1b377030

157071705600048 has 80 divisors (see below), whose sum is σ = 405998524609920. Its totient is φ = 52327567309312.

The previous prime is 157071705600031. The next prime is 157071705600079. The reversal of 157071705600048 is 840006507170751.

157071705600048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1937131315 + ... + 1937212397.

It is an arithmetic number, because the mean of its divisors is an integer number (5074981557624).

Almost surely, 2157071705600048 is an apocalyptic number.

It is an amenable number.

157071705600048 is an abundant number, since it is smaller than the sum of its proper divisors (248926819009872).

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

157071705600048 is a wasteful number, since it uses less digits than its factorization.

157071705600048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103466 (or 103460 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 157071705600048 in words is "one hundred fifty-seven trillion, seventy-one billion, seven hundred five million, six hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1979 3958 5937 7916 11874 15832 20393 23748 31664 40786 47496 61179 81083 81572 94992 122358 162166 163144 243249 244716 324332 326288 486498 489432 648664 972996 978864 1297328 1945992 3891984 40357747 80715494 121073241 160463257 161430988 242146482 320926514 322861976 481389771 484292964 641853028 645723952 962779542 968585928 1283706056 1653525619 1925559084 1937171856 2567412112 3307051238 3851118168 4960576857 6614102476 7702236336 9921153714 13228204952 19842307428 26456409904 39684614856 79369229712 3272327200001 6544654400002 9816981600003 13089308800004 19633963200006 26178617600008 39267926400012 52357235200016 78535852800024 157071705600048