Search a number
-
+
6557755107480 = 23351710259313343
BaseRepresentation
bin101111101101101100010…
…1010011110100010011000
3212012220201020011201021120
41133123120222132202120
51324420240301414410
621540331402405240
71244532166463223
oct137333052364230
925186636151246
106557755107480
1120a9145885a35
1289ab2ab00820
13387516b18985
1418957b6a05ba
15b58b01d5570
hex5f6d8a9e898

6557755107480 has 128 divisors (see below), whose sum is σ = 20832613171200. Its totient is φ = 1645702264832.

The previous prime is 6557755107469. The next prime is 6557755107493. The reversal of 6557755107480 is 847015577556.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20771689 + ... + 21085031.

It is an arithmetic number, because the mean of its divisors is an integer number (162754790400).

Almost surely, 26557755107480 is an apocalyptic number.

6557755107480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6557755107480 is an abundant number, since it is smaller than the sum of its proper divisors (14274858063720).

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

6557755107480 is a wasteful number, since it uses less digits than its factorization.

6557755107480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323633 (or 323629 counting only the distinct ones).

The product of its (nonzero) digits is 41160000, while the sum is 60.

The spelling of 6557755107480 in words is "six trillion, five hundred fifty-seven billion, seven hundred fifty-five million, one hundred seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10259 20518 30777 41036 51295 61554 82072 102590 123108 153885 174403 205180 246216 307770 313343 348806 410360 523209 615540 626686 697612 872015 940029 1046418 1231080 1253372 1395224 1566715 1744030 1880058 2092836 2506744 2616045 3133430 3488060 3760116 4185672 4700145 5232090 5326831 6266860 6976120 7520232 9400290 10464180 10653662 12533720 15980493 18800580 20928360 21307324 26634155 31960986 37601160 42614648 53268310 63921972 79902465 106536620 127843944 159804930 213073240 319609860 639219720 3214585837 6429171674 9643757511 12858343348 16072929185 19287515022 25716686696 32145858370 38575030044 48218787555 54647959229 64291716740 77150060088 96437575110 109295918458 128583433480 163943877687 192875150220 218591836916 273239796145 327887755374 385750300440 437183673832 546479592290 655775510748 819719388435 1092959184580 1311551021496 1639438776870 2185918369160 3278877553740 6557755107480