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1150221050532 = 22321719853711587
BaseRepresentation
bin10000101111001110100…
…001000110001010100100
311001221220212211110200100
4100233032201012022210
5122321123042104112
62240223152544100
7146046356420331
oct20571641061244
94057825743610
101150221050532
11403895884634
12166b06852030
1384608592918
143d9572d9988
151edbe95c2dc
hex10bce8462a4

1150221050532 has 144 divisors (see below), whose sum is σ = 3241220149440. Its totient is φ = 341791819776.

The previous prime is 1150221050501. The next prime is 1150221050557. The reversal of 1150221050532 is 2350501220511.

1150221050532 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 22 + 105 + 0 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1150221050496 and 1150221050505.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99262443 + ... + 99274029.

It is an arithmetic number, because the mean of its divisors is an integer number (22508473260).

Almost surely, 21150221050532 is an apocalyptic number.

1150221050532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150221050532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620610074720).

1150221050532 is an abundant number, since it is smaller than the sum of its proper divisors (2090999098908).

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

1150221050532 is a wasteful number, since it uses less digits than its factorization.

1150221050532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20170 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1150221050532 in words is "one trillion, one hundred fifty billion, two hundred twenty-one million, fifty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 8537 11587 11628 17074 23174 25611 34148 34761 46348 51222 69522 76833 102444 104283 139044 145129 153666 162203 196979 208566 220153 290258 307332 324406 393958 417132 435387 440306 486609 580516 590937 648812 660459 787916 870774 880612 973218 1181874 1306161 1320918 1459827 1741548 1772811 1946436 1981377 2363748 2612322 2641836 2757451 2919654 3545622 3742601 3962754 5224644 5514902 5839308 7091244 7485202 7925508 8272353 11029804 11227803 14970404 16544706 22455606 24817059 33089412 33683409 44911212 49634118 67366818 98918219 99268236 134733636 197836438 296754657 395672876 593509314 890263971 1187018628 1681609723 1780527942 1879446161 3363219446 3561055884 3758892322 5044829169 5638338483 6726438892 7517784644 10089658338 11276676966 15134487507 16915015449 20179316676 22553353932 30268975014 31950584737 33830030898 60537950028 63901169474 67660061796 95851754211 127802338948 191703508422 287555262633 383407016844 575110525266 1150221050532