Search a number
-
+
57100361552 = 241310913918119
BaseRepresentation
bin110101001011011100…
…100101111101010000
312110101102101220120122
4311023130211331100
51413420143032202
642122002525412
74061000031203
oct651334457520
9173342356518
1057100361552
1122241735853
12b096966868
1354ccab4bb0
142a9973393a
151742dd59a2
hexd4b725f50

57100361552 has 80 divisors (see below), whose sum is σ = 121106832000. Its totient is φ = 25922944512.

The previous prime is 57100361551. The next prime is 57100361581. The reversal of 57100361552 is 25516300175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57100361551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3142349 + ... + 3160467.

It is an arithmetic number, because the mean of its divisors is an integer number (1513835400).

Almost surely, 257100361552 is an apocalyptic number.

57100361552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57100361552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60553416000).

57100361552 is an abundant number, since it is smaller than the sum of its proper divisors (64006470448).

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

57100361552 is a wasteful number, since it uses less digits than its factorization.

57100361552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 18382 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The spelling of 57100361552 in words is "fifty-seven billion, one hundred million, three hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 109 139 208 218 278 436 556 872 1112 1417 1744 1807 2224 2834 3614 5668 7228 11336 14456 15151 18119 22672 28912 30302 36238 60604 72476 121208 144952 196963 235547 242416 289904 393926 471094 787852 942188 1575704 1884376 1974971 2518541 3151408 3768752 3949942 5037082 7899884 10074164 15799768 20148328 25674623 31599536 32741033 40296656 51349246 65482066 102698492 130964132 205396984 261928264 274520969 410793968 523856528 549041938 1098083876 2196167752 3568772597 4392335504 7137545194 14275090388 28550180776 57100361552