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253740154956 = 223173673838849
BaseRepresentation
bin1110110001010000010…
…1111000000001001100
3220020221120212102011220
43230110011320001030
513124124434424311
6312322220043340
724221626505421
oct3542405700114
9806846772156
10253740154956
1198679780002
1241215093550
131ac09c01a32
14c3d1445d48
156901363206
hex3b1417804c

253740154956 has 96 divisors (see below), whose sum is σ = 630308044800. Its totient is φ = 79171620864.

The previous prime is 253740154907. The next prime is 253740155003. The reversal of 253740154956 is 659451047352.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 253740154899 and 253740154908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28670020 + ... + 28678868.

It is an arithmetic number, because the mean of its divisors is an integer number (6565708800).

Almost surely, 2253740154956 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 253740154956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315154022400).

253740154956 is an abundant number, since it is smaller than the sum of its proper divisors (376567889844).

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

253740154956 is a wasteful number, since it uses less digits than its factorization.

253740154956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 253740154956 in words is "two hundred fifty-three billion, seven hundred forty million, one hundred fifty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 367 383 734 766 1101 1149 1468 1532 2202 2298 4404 4596 6239 6511 8849 12478 13022 17698 18717 19533 24956 26044 26547 35396 37434 39066 53094 74868 78132 106188 140561 150433 281122 300866 421683 451299 562244 601732 843366 902598 1686732 1805196 2389537 3247583 3389167 4779074 6495166 6778334 7168611 9558148 9742749 10167501 12990332 13556668 14337222 19485498 20335002 28674444 38970996 40670004 55208911 57615839 110417822 115231678 165626733 172847517 220835644 230463356 331253466 345695034 662506932 691390068 1243824289 2487648578 3731472867 4975297156 7462945734 14925891468 21145012913 42290025826 63435038739 84580051652 126870077478 253740154956