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73650796032 = 2931131713751
BaseRepresentation
bin100010010010111101…
…1011111011000000000
321001002211222002112110
41010211323133120000
52201314100433112
653500144055320
75215064302602
oct1044573373000
9231084862473
1073650796032
1129264a55180
1212335604540
136c399012a8
1437c9829172
151db0da813c
hex1125edf600

73650796032 has 160 divisors (see below), whose sum is σ = 214738470144. Its totient is φ = 22246400000.

The previous prime is 73650796031. The next prime is 73650796081. The reversal of 73650796032 is 23069705637.

It is a super-2 number, since 2×736507960322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73650796031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5349157 + ... + 5362907.

Almost surely, 273650796032 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 73650796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107369235072).

73650796032 is an abundant number, since it is smaller than the sum of its proper divisors (141087674112).

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

73650796032 is a wasteful number, since it uses less digits than its factorization.

73650796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The spelling of 73650796032 in words is "seventy-three billion, six hundred fifty million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 317 352 384 512 528 634 704 768 951 1056 1268 1408 1536 1902 2112 2536 2816 3487 3804 4224 5072 5632 6974 7608 8448 10144 10461 13751 13948 15216 16896 20288 20922 27502 27896 30432 40576 41253 41844 55004 55792 60864 81152 82506 83688 110008 111584 121728 151261 162304 165012 167376 220016 223168 243456 302522 330024 334752 440032 446336 453783 486912 605044 660048 669504 880064 892672 907566 1210088 1320096 1339008 1760128 1785344 1815132 2420176 2640192 2678016 3520256 3630264 4359067 4840352 5280384 5356032 7040512 7260528 8718134 9680704 10560768 13077201 14521056 17436268 19361408 21121536 26154402 29042112 34872536 38722816 47949737 52308804 58084224 69745072 77445632 95899474 104617608 116168448 139490144 143849211 191798948 209235216 232336896 278980288 287698422 383597896 418470432 557960576 575396844 767195792 836940864 1115921152 1150793688 1534391584 1673881728 2231842304 2301587376 3068783168 3347763456 4603174752 6137566336 6695526912 9206349504 12275132672 18412699008 24550265344 36825398016 73650796032