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252426501632 = 29677769947
BaseRepresentation
bin1110101100010111001…
…0101011111000000000
3220010120000222220121002
43223011302223320000
513113432141023012
6311544011551132
724144235601354
oct3530562537000
9803500886532
10252426501632
11980651a78a8
1240b0915b4a8
131aa5a9c6386
14c308bad464
156875d777c2
hex3ac5cabe00

252426501632 has 80 divisors (see below), whose sum is σ = 506295876240. Its totient is φ = 125730029568.

The previous prime is 252426501629. The next prime is 252426501653. The reversal of 252426501632 is 236105624252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266553383 + ... + 266554329.

It is an arithmetic number, because the mean of its divisors is an integer number (6328698453).

Almost surely, 2252426501632 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 252426501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253147938120).

252426501632 is an abundant number, since it is smaller than the sum of its proper divisors (253869374608).

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

252426501632 is an frugal number, since it uses more digits than its factorization.

252426501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 252426501632 in words is "two hundred fifty-two billion, four hundred twenty-six million, five hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 677 769 947 1354 1538 1894 2708 3076 3788 5416 6152 7576 10832 12304 15152 21664 24608 30304 43328 49216 60608 86656 98432 121216 173312 196864 242432 346624 393728 484864 520613 641119 728243 1041226 1282238 1456486 2082452 2564476 2912972 4164904 5128952 5825944 8329808 10257904 11651888 16659616 20515808 23303776 33319232 41031616 46607552 66638464 82063232 93215104 133276928 164126464 186430208 266553856 328252928 372860416 493020511 986041022 1972082044 3944164088 7888328176 15776656352 31553312704 63106625408 126213250816 252426501632