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51345521040 = 24351143344917
BaseRepresentation
bin101111110100011011…
…100111100110010000
311220112100122201111110
4233310123213212100
51320123423133130
635330544413320
73465250504422
oct576433474620
9156470581443
1051345521040
111a859231a10
129b4b617240
134ac3755518
1426b1300812
151507a77ab0
hexbf46e7990

51345521040 has 160 divisors (see below), whose sum is σ = 174046110336. Its totient is φ = 12418375680.

The previous prime is 51345521023. The next prime is 51345521047. The reversal of 51345521040 is 4012554315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51345520989 and 51345521007.

It is not an unprimeable number, because it can be changed into a prime (51345521047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120662 + ... + 1165578.

Almost surely, 251345521040 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 51345521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87023055168).

51345521040 is an abundant number, since it is smaller than the sum of its proper divisors (122700589296).

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

51345521040 is a wasteful number, since it uses less digits than its factorization.

51345521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45371 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 51345521040 in words is "fifty-one billion, three hundred forty-five million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 433 440 528 660 866 880 1299 1320 1732 2165 2598 2640 3464 4330 4763 5196 6495 6928 8660 9526 10392 12990 14289 17320 19052 20784 23815 25980 28578 34640 38104 44917 47630 51960 57156 71445 76208 89834 95260 103920 114312 134751 142890 179668 190520 224585 228624 269502 285780 359336 381040 449170 494087 539004 571560 673755 718672 898340 988174 1078008 1143120 1347510 1482261 1796680 1976348 2156016 2470435 2695020 2964522 3593360 3952696 4940870 5390040 5929044 7411305 7905392 9881740 10780080 11858088 14822610 19449061 19763480 23716176 29645220 38898122 39526960 58347183 59290440 77796244 97245305 116694366 118580880 155592488 194490610 213939671 233388732 291735915 311184976 388981220 427879342 466777464 583471830 641819013 777962440 855758684 933554928 1069698355 1166943660 1283638026 1555924880 1711517368 2139396710 2333887320 2567276052 3209095065 3423034736 4278793420 4667774640 5134552104 6418190130 8557586840 10269104208 12836380260 17115173680 25672760520 51345521040