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51547671040 = 295731132441
BaseRepresentation
bin110000000000011110…
…110000101000000000
311221001110001000011111
4300000132300220000
51321032200433130
635403005253104
73503253655135
oct600036605000
9157043030144
1051547671040
111a952353228
129ba7264194
134b265b32c8
1426d00c258c
15151a6a902a
hexc007b0a00

51547671040 has 160 divisors (see below), whose sum is σ = 126447170256. Its totient is φ = 20148387840.

The previous prime is 51547671011. The next prime is 51547671053. The reversal of 51547671040 is 4017674515.

It can be written as a sum of positive squares in 8 ways, for example, as 1793691904 + 49753979136 = 42352^2 + 223056^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 51547670984 and 51547671002.

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, 21116220 + ... + 21118660.

Almost surely, 251547671040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51547671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63223585128).

51547671040 is an abundant number, since it is smaller than the sum of its proper divisors (74899499216).

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

51547671040 is a wasteful number, since it uses less digits than its factorization.

51547671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 51547671040 in words is "fifty-one billion, five hundred forty-seven million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 113 128 146 160 226 256 292 320 365 452 512 565 584 640 730 904 1130 1168 1280 1460 1808 2260 2336 2441 2560 2920 3616 4520 4672 4882 5840 7232 8249 9040 9344 9764 11680 12205 14464 16498 18080 18688 19528 23360 24410 28928 32996 36160 37376 39056 41245 46720 48820 57856 65992 72320 78112 82490 93440 97640 131984 144640 156224 164980 178193 186880 195280 263968 275833 289280 312448 329960 356386 390560 527936 551666 624896 659920 712772 781120 890965 1055872 1103332 1249792 1319840 1379165 1425544 1562240 1781930 2111744 2206664 2639680 2758330 2851088 3124480 3563860 4223488 4413328 5279360 5516660 5702176 6248960 7127720 8826656 10558720 11033320 11404352 14255440 17653312 20135809 21117440 22066640 22808704 28510880 35306624 40271618 44133280 45617408 57021760 70613248 80543236 88266560 91234816 100679045 114043520 141226496 161086472 176533120 201358090 228087040 322172944 353066240 402716180 456174080 644345888 706132480 805432360 1288691776 1610864720 2577383552 3221729440 5154767104 6443458880 10309534208 12886917760 25773835520 51547671040