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11255253152 = 25111321111657
BaseRepresentation
bin10100111101101110…
…11000100010100000
31002001101202002201212
422132313120202200
5141022321100102
65100503045252
7545626034063
oct123667304240
932041662655
1011255253152
11485632a310
122221440828
1310a4a89110
1478ab568da
1545d1aec52
hex29edd88a0

11255253152 has 96 divisors (see below), whose sum is σ = 26158313664. Its totient is φ = 4699699200.

The previous prime is 11255253131. The next prime is 11255253181. The reversal of 11255253152 is 25135255211.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959708 + ... + 971364.

It is an arithmetic number, because the mean of its divisors is an integer number (272482434).

Almost surely, 211255253152 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 11255253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079156832).

11255253152 is an abundant number, since it is smaller than the sum of its proper divisors (14903060512).

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

11255253152 is a wasteful number, since it uses less digits than its factorization.

11255253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11902 (or 11894 counting only the distinct ones).

The product of its digits is 15000, while the sum is 32.

The spelling of 11255253152 in words is "eleven billion, two hundred fifty-five million, two hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 211 286 352 416 422 572 844 1144 1688 2288 2321 2743 3376 4576 4642 5486 6752 9284 10972 11657 18568 21944 23314 30173 37136 43888 46628 60346 74272 87776 93256 120692 128227 151541 186512 241384 256454 303082 373024 482768 512908 606164 965536 1025816 1212328 1666951 2051632 2424656 2459627 3333902 4103264 4849312 4919254 6667804 9838508 13335608 19677016 26671216 27055897 31975151 39354032 53342432 54111794 63950302 78708064 108223588 127900604 216447176 255801208 351726661 432894352 511602416 703453322 865788704 1023204832 1406906644 2813813288 5627626576 11255253152