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86957117453550 = 235215717092160589
BaseRepresentation
bin10011110001011001001000…
…000110001011010011101110
3102101220000112000201221011010
4103301121020012023103232
542344201134032003200
6504535314232210050
724213305301551331
oct2361311006132356
9371800460657133
1086957117453550
1125786340920653
129904a56839926
13396a0371688b6
141768a6586c618
15a0be4a55d150
hex4f164818b4ee

86957117453550 has 96 divisors (see below), whose sum is σ = 217154332706400. Its totient is φ = 23027374056960.

The previous prime is 86957117453537. The next prime is 86957117453623. The reversal of 86957117453550 is 5535471175968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39166656 + ... + 41327244.

It is an arithmetic number, because the mean of its divisors is an integer number (2262024299025).

Almost surely, 286957117453550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86957117453550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108577166353200).

86957117453550 is an abundant number, since it is smaller than the sum of its proper divisors (130197215252850).

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

86957117453550 is a wasteful number, since it uses less digits than its factorization.

86957117453550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162470 (or 2162465 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 66.

The spelling of 86957117453550 in words is "eighty-six trillion, nine hundred fifty-seven billion, one hundred seventeen million, four hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1570 1709 2355 3418 3925 4710 5127 7850 8545 10254 11775 17090 23550 25635 42725 51270 85450 128175 256350 268313 536626 804939 1341565 1609878 2160589 2683130 4024695 4321178 6481767 6707825 8049390 10802945 12963534 13415650 20123475 21605890 32408835 40246950 54014725 64817670 108029450 162044175 324088350 339212473 678424946 1017637419 1696062365 2035274838 3392124730 3692446601 5088187095 7384893202 8480311825 10176374190 11077339803 16960623650 18462233005 22154679606 25440935475 36924466010 50881870950 55386699015 92311165025 110773398030 184622330050 276933495075 553866990150 579714116357 1159428232714 1739142349071 2898570581785 3478284698142 5797141163570 8695711745355 14492852908925 17391423490710 28985705817850 43478558726775 86957117453550