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640360454130 = 232529311788903
BaseRepresentation
bin10010101000110000111…
…01010001011111110010
32021012212211011120002200
421110120131101133302
540442424234013010
61210102202524030
764156505023335
oct11243035213762
92235784146080
10640360454130
11227636867111
12a4133506616
13485025b6427
1422dca68061c
15119cd305cc0
hex95187517f2

640360454130 has 96 divisors (see below), whose sum is σ = 1727889096960. Its totient is φ = 164344064640.

The previous prime is 640360453981. The next prime is 640360454147. The reversal of 640360454130 is 31454063046.

640360454130 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 604 + 5 + 41 + 3 + 0 = 666.

640360454130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6403604541302 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417259 + ... + 1206161.

It is an arithmetic number, because the mean of its divisors is an integer number (17998844760).

Almost surely, 2640360454130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640360454130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863944548480).

640360454130 is an abundant number, since it is smaller than the sum of its proper divisors (1087528642830).

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

640360454130 is a wasteful number, since it uses less digits than its factorization.

640360454130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789256 (or 789253 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 640360454130 in words is "six hundred forty billion, three hundred sixty million, four hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 311 435 522 622 870 933 1305 1555 1866 2610 2799 3110 4665 5598 9019 9330 13995 18038 27057 27990 45095 54114 81171 90190 135285 162342 270570 405855 788903 811710 1577806 2366709 3944515 4733418 7100127 7889030 11833545 14200254 22878187 23667090 35500635 45756374 68634561 71001270 114390935 137269122 205903683 228781870 245348833 343172805 411807366 490697666 686345610 736046499 1029518415 1226744165 1472092998 2059036830 2208139497 2453488330 3680232495 4416278994 7115116157 7360464990 11040697485 14230232314 21345348471 22081394970 35575580785 42690696942 64036045413 71151161570 106726742355 128072090826 213453484710 320180227065 640360454130