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2157132108264 = 2337193072201281
BaseRepresentation
bin11111011000111111000…
…101111101000111101000
321122012221020122000002120
4133120333011331013220
5240320301304431024
64330550043231240
7311563513246620
oct37307705750750
97565836560076
102157132108264
1176191a925491
122aa097218520
131285555c2a23
1476597549880
153b1a2cbe479
hex1f63f17d1e8

2157132108264 has 128 divisors (see below), whose sum is σ = 6508750617600. Its totient is φ = 581983211520.

The previous prime is 2157132108181. The next prime is 2157132108281. The reversal of 2157132108264 is 4628012317512.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 120697 + ... + 2080584.

It is an arithmetic number, because the mean of its divisors is an integer number (50849614200).

Almost surely, 22157132108264 is an apocalyptic number.

2157132108264 is a gapful number since it is divisible by the number (24) 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 2157132108264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254375308800).

2157132108264 is an abundant number, since it is smaller than the sum of its proper divisors (4351618509336).

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

2157132108264 is a wasteful number, since it uses less digits than its factorization.

2157132108264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201623 (or 2201619 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 2157132108264 in words is "two trillion, one hundred fifty-seven billion, one hundred thirty-two million, one hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 307 399 456 532 614 798 921 1064 1228 1596 1842 2149 2456 3192 3684 4298 5833 6447 7368 8596 11666 12894 17192 17499 23332 25788 34998 40831 46664 51576 69996 81662 122493 139992 163324 244986 326648 489972 979944 2201281 4402562 6603843 8805124 13207686 15408967 17610248 26415372 30817934 41824339 46226901 52830744 61635868 83648678 92453802 123271736 125473017 167297356 184907604 250946034 292770373 334594712 369815208 501892068 585540746 675793267 878311119 1003784136 1171081492 1351586534 1756622238 2027379801 2342162984 2703173068 3513244476 4054759602 4730552869 5406346136 7026488952 8109519204 9461105738 12840072073 14191658607 16219038408 18922211476 25680144146 28383317214 37844422952 38520216219 51360288292 56766634428 77040432438 89880504511 102720576584 113533268856 154080864876 179761009022 269641513533 308161729752 359522018044 539283027066 719044036088 1078566054132 2157132108264