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45073055232 = 293740253
BaseRepresentation
bin101001111110100100…
…000011111000000000
311022100012220110000000
4221332210003320000
51214302200231412
632412320000000
73153644435202
oct517644037000
9138305813000
1045073055232
111812a623577
12889aa60000
1343340ac4aa
142278248772
15128c06e4dc
hexa7e903e00

45073055232 has 160 divisors (see below), whose sum is σ = 135069881760. Its totient is φ = 15023978496.

The previous prime is 45073055177. The next prime is 45073055239. The reversal of 45073055232 is 23255037054.

45073055232 is a `hidden beast` number, since 4 + 5 + 0 + 73 + 0 + 552 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45073055239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099618 + ... + 1139870.

It is an arithmetic number, because the mean of its divisors is an integer number (844186761).

Almost surely, 245073055232 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 45073055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534940880).

45073055232 is an abundant number, since it is smaller than the sum of its proper divisors (89996826528).

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

45073055232 is an frugal number, since it uses more digits than its factorization.

45073055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40292 (or 40258 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 45073055232 in words is "forty-five billion, seventy-three million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3456 3888 4374 4608 5184 5832 6912 7776 8748 10368 11664 13824 15552 17496 20736 23328 31104 34992 40253 41472 46656 62208 69984 80506 93312 120759 124416 139968 161012 186624 241518 279936 322024 362277 373248 483036 559872 644048 724554 966072 1086831 1119744 1288096 1449108 1932144 2173662 2576192 2898216 3260493 3864288 4347324 5152384 5796432 6520986 7728576 8694648 9781479 10304768 11592864 13041972 15457152 17389296 19562958 20609536 23185728 26083944 29344437 30914304 34778592 39125916 46371456 52167888 58688874 61828608 69557184 78251832 88033311 92742912 104335776 117377748 139114368 156503664 176066622 185485824 208671552 234755496 278228736 313007328 352133244 417343104 469510992 556457472 626014656 704266488 834686208 939021984 1252029312 1408532976 1669372416 1878043968 2504058624 2817065952 3756087936 5008117248 5634131904 7512175872 11268263808 15024351744 22536527616 45073055232