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21363766350 = 23521793472293
BaseRepresentation
bin10011111001011000…
…010011010001001110
32001010212200202222120
4103321120103101032
5322223111010400
613451523353410
71354262006043
oct237130232116
961125622876
1021363766350
11907331a953
124182822866
1320260aac84
1410694851ca
15850854ca0
hex4f961344e

21363766350 has 96 divisors (see below), whose sum is σ = 53454971520. Its totient is φ = 5646387840.

The previous prime is 21363766301. The next prime is 21363766351. The reversal of 21363766350 is 5366736312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21363766351) 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 47 ways as a sum of consecutive naturals, for example, 9315804 + ... + 9318096.

It is an arithmetic number, because the mean of its divisors is an integer number (556822620).

Almost surely, 221363766350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21363766350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26727485760).

21363766350 is an abundant number, since it is smaller than the sum of its proper divisors (32091205170).

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

21363766350 is a wasteful number, since it uses less digits than its factorization.

21363766350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 21363766350 in words is "twenty-one billion, three hundred sixty-three million, seven hundred sixty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 179 347 358 537 694 895 1041 1074 1735 1790 2082 2293 2685 3470 4475 4586 5205 5370 6879 8675 8950 10410 11465 13425 13758 17350 22930 26025 26850 34395 52050 57325 62113 68790 114650 124226 171975 186339 310565 343950 372678 410447 621130 795671 820894 931695 1231341 1552825 1591342 1863390 2052235 2387013 2462682 3105650 3978355 4104470 4658475 4774026 6156705 7956710 9316950 10261175 11935065 12313410 19891775 20522350 23870130 30783525 39783550 59675325 61567050 119350650 142425109 284850218 427275327 712125545 854550654 1424251090 2136376635 3560627725 4272753270 7121255450 10681883175 21363766350