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73225001376 = 2533233684833
BaseRepresentation
bin100010000110010001…
…1001101100110100000
321000000011202111002000
41010030203031212200
52144431100021001
653350013524000
75201404146012
oct1041443154640
9230004674060
1073225001376
112906667136a
1212236aa3600
136b9c62aba7
14378906c1b2
151d887eba86
hex110c8cd9a0

73225001376 has 96 divisors (see below), whose sum is σ = 222858760320. Its totient is φ = 23347095552.

The previous prime is 73225001309. The next prime is 73225001407. The reversal of 73225001376 is 67310052237.

73225001376 is a `hidden beast` number, since 7 + 32 + 250 + 0 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 73225001376.

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, 1822545 + ... + 1862288.

It is an arithmetic number, because the mean of its divisors is an integer number (2321445420).

Almost surely, 273225001376 is an apocalyptic number.

It is an amenable number.

73225001376 is an abundant number, since it is smaller than the sum of its proper divisors (149633758944).

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

73225001376 is a wasteful number, since it uses less digits than its factorization.

73225001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684875 (or 3684861 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 73225001376 in words is "seventy-three billion, two hundred twenty-five million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 3684833 7369666 11054499 14739332 22108998 29478664 33163497 44217996 58957328 66326994 84751159 88435992 99490491 117914656 132653988 169502318 176871984 198980982 254253477 265307976 339004636 353743968 397961964 508506954 530615952 678009272 762760431 795923928 1017013908 1061231904 1356018544 1525520862 1591847856 2034027816 2288281293 2712037088 3051041724 3183695712 4068055632 4576562586 6102083448 8136111264 9153125172 12204166896 18306250344 24408333792 36612500688 73225001376