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45646962140 = 225131741251887
BaseRepresentation
bin101010100000110001…
…010101110111011100
311100211012210221021102
4222200301111313130
51221441110242030
632545300452232
73204113530163
oct524061256734
9140735727242
1045646962140
11183a457a2aa
128a1b0aa078
1343c5c70490
1422d055c3da
1512c2635c45
hexaa0c55ddc

45646962140 has 96 divisors (see below), whose sum is σ = 111971268864. Its totient is φ = 15475875840.

The previous prime is 45646962131. The next prime is 45646962143. The reversal of 45646962140 is 4126964654.

45646962140 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 2×456469621402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45646962143) 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, 55277 + ... + 307163.

It is an arithmetic number, because the mean of its divisors is an integer number (1166367384).

Almost surely, 245646962140 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 45646962140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55985634432).

45646962140 is an abundant number, since it is smaller than the sum of its proper divisors (66324306724).

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

45646962140 is a wasteful number, since it uses less digits than its factorization.

45646962140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251967 (or 251965 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 45646962140 in words is "forty-five billion, six hundred forty-six million, nine hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 884 1066 1105 1394 2132 2210 2665 2788 3485 4420 5330 6970 9061 10660 13940 18122 36244 45305 90610 181220 251887 503774 1007548 1259435 2518870 3274531 4282079 5037740 6549062 8564158 10327367 13098124 16372655 17128316 20654734 21410395 32745310 41309468 42820790 51636835 55667027 65490620 85641580 103273670 111334054 134255771 175565239 206547340 222668108 268511542 278335135 351130478 537023084 556670270 671278855 702260956 877826195 1113340540 1342557710 1755652390 2282348107 2685115420 3511304780 4564696214 9129392428 11411740535 22823481070 45646962140