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56998607102040 = 23354740924709379
BaseRepresentation
bin11001111010111000001011…
…01110101010000001011000
321110211000100221010200201210
430331130011232222001120
524432331121404231130
6321120444300143120
715002004422305332
oct1475340556520130
9243730327120653
1056998607102040
1117185a7883859a
126486866237aa0
1325a5c3a5b8616
141010a6685a452
1568c9e7e1d5b0
hex33d705baa058

56998607102040 has 128 divisors (see below), whose sum is σ = 175061015424000. Its totient is φ = 14839859401728.

The previous prime is 56998607102033. The next prime is 56998607102051. The reversal of 56998607102040 is 4020170689965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10047930 + ... + 14661449.

It is an arithmetic number, because the mean of its divisors is an integer number (1367664183000).

Almost surely, 256998607102040 is an apocalyptic number.

It is an amenable number.

56998607102040 is an abundant number, since it is smaller than the sum of its proper divisors (118062408321960).

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

56998607102040 is a wasteful number, since it uses less digits than its factorization.

56998607102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24709849 (or 24709845 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 56998607102040 in words is "fifty-six trillion, nine hundred ninety-eight billion, six hundred seven million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 409 470 564 705 818 940 1128 1227 1410 1636 1880 2045 2454 2820 3272 4090 4908 5640 6135 8180 9816 12270 16360 19223 24540 38446 49080 57669 76892 96115 115338 153784 192230 230676 288345 384460 461352 576690 768920 1153380 2306760 24709379 49418758 74128137 98837516 123546895 148256274 197675032 247093790 296512548 370640685 494187580 593025096 741281370 988375160 1161340813 1482562740 2322681626 2965125480 3484022439 4645363252 5806704065 6968044878 9290726504 10106136011 11613408130 13936089756 17420112195 20212272022 23226816260 27872179512 30318408033 34840224390 40424544044 46453632520 50530680055 60636816066 69680448780 80849088088 101061360110 121273632132 139360897560 151592040165 202122720220 242547264264 303184080330 404245440440 474988392517 606368160660 949976785034 1212736321320 1424965177551 1899953570068 2374941962585 2849930355102 3799907140136 4749883925170 5699860710204 7124825887755 9499767850340 11399721420408 14249651775510 18999535700680 28499303551020 56998607102040