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21453146550 = 23252115381773
BaseRepresentation
bin10011111110101101…
…010000100110110110
32001101002212202120100
4103332231100212312
5322414001142200
613504435214530
71356425510523
oct237655204666
961332782510
1021453146550
119109818590
1241a8747446
13203b773a74
1410772b014a
1585860cd00
hex4feb509b6

21453146550 has 144 divisors (see below), whose sum is σ = 64064368368. Its totient is φ = 5102572800.

The previous prime is 21453146489. The next prime is 21453146567. The reversal of 21453146550 is 5564135412.

21453146550 is a `hidden beast` number, since 2 + 14 + 53 + 1 + 46 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221464 + ... + 303236.

It is an arithmetic number, because the mean of its divisors is an integer number (444891447).

Almost surely, 221453146550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21453146550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032184184).

21453146550 is an abundant number, since it is smaller than the sum of its proper divisors (42611221818).

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

21453146550 is a wasteful number, since it uses less digits than its factorization.

21453146550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81855 (or 81847 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 21453146550 in words is "twenty-one billion, four hundred fifty-three million, one hundred forty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 53 55 66 75 90 99 106 110 150 159 165 198 225 265 275 318 330 450 477 495 530 550 583 795 825 954 990 1166 1325 1590 1650 1749 2385 2475 2650 2915 3498 3975 4770 4950 5247 5830 7950 8745 10494 11925 14575 17490 23850 26235 29150 43725 52470 81773 87450 131175 163546 245319 262350 408865 490638 735957 817730 899503 1226595 1471914 1799006 2044325 2453190 2698509 3679785 4088650 4333969 4497515 5397018 6132975 7359570 8095527 8667938 8995030 12265950 13001907 13492545 16191054 18398925 21669845 22487575 26003814 26985090 36797850 39005721 40477635 43339690 44975150 47673659 65009535 67462725 78011442 80955270 95347318 108349225 130019070 134925450 143020977 195028605 202388175 216698450 238368295 286041954 325047675 390057210 404776350 429062931 476736590 650095350 715104885 858125862 975143025 1191841475 1430209770 1950286050 2145314655 2383682950 3575524425 4290629310 7151048850 10726573275 21453146550