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857385550648 = 23113110112012591
BaseRepresentation
bin11000111101000000010…
…10010100001100111000
310000222001200011202110101
430132200022110030320
5103021411200110043
61453513311525144
7115641545635264
oct14364012241470
93028050152411
10857385550648
11300684878310
1211a2008297b4
1362b0ab74ac3
142d6d78d50a4
151748125d24d
hexc7a0294338

857385550648 has 128 divisors (see below), whose sum is σ = 1830467911680. Its totient is φ = 372960000000.

The previous prime is 857385550607. The next prime is 857385550759. The reversal of 857385550648 is 846055583758.

It is a self number, because there is not a number n which added to its sum of digits gives 857385550648.

It is a congruent number.

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, 330907833 + ... + 330910423.

It is an arithmetic number, because the mean of its divisors is an integer number (14300530560).

Almost surely, 2857385550648 is an apocalyptic number.

857385550648 is a gapful number since it is divisible by the number (88) 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 857385550648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915233955840).

857385550648 is an abundant number, since it is smaller than the sum of its proper divisors (973082361032).

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

857385550648 is a wasteful number, since it uses less digits than its factorization.

857385550648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 64.

The spelling of 857385550648 in words is "eight hundred fifty-seven billion, three hundred eighty-five million, five hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 202 248 341 404 682 808 1111 1201 1364 2222 2402 2591 2728 3131 4444 4804 5182 6262 8888 9608 10364 12524 13211 20728 25048 26422 28501 34441 37231 52844 57002 68882 74462 80321 105688 114004 121301 137764 148924 160642 228008 242602 261691 275528 297848 321284 409541 485204 523382 642568 819082 883531 970408 1046764 1334311 1638164 1767062 2093528 2668622 2878601 3111791 3276328 3534124 3760331 5337244 5757202 6223582 7068248 7520662 8112421 10674488 11514404 12447164 15041324 16224842 23028808 24894328 30082648 32449684 34229701 41363641 64899368 68459402 82727282 89236631 96465521 136918804 165454564 178473262 192931042 273837608 314290891 330909128 356946524 385862084 628581782 713893048 771724168 1061120731 1257163564 2122241462 2514327128 3457199801 4244482924 6914399602 8488965848 9743017621 13828799204 19486035242 27657598408 38972070484 77944140968 107173193831 214346387662 428692775324 857385550648