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2109245000976 = 243237232712
BaseRepresentation
bin11110101100011000110…
…011001000110100010000
321110122022220120220101100
4132230120303020310100
5234024213210012401
64252550200304400
7305250025456131
oct36543063106420
97418286526340
102109245000976
117435868a6a63
122a0951a72100
13123b93506299
147413369dc88
1539cedb8bb86
hex1eb18cc8d10

2109245000976 has 135 divisors (see below), whose sum is σ = 6068663027973. Its totient is φ = 683870325120.

The previous prime is 2109245000969. The next prime is 2109245000983. The reversal of 2109245000976 is 6790005429012.

The square root of 2109245000976 is 1452324.

It is a perfect power (a square), and thus also a powerful number.

2109245000976 is a `hidden beast` number, since 2 + 109 + 2 + 450 + 0 + 0 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2109245000969) and next prime (2109245000983).

It can be written as a sum of positive squares in only one way, i.e., 1887381392400 + 221863608576 = 1373820^2 + 471024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 644830221 + ... + 644833491.

Almost surely, 22109245000976 is an apocalyptic number.

2109245000976 is the 1452324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109245000976

2109245000976 is an abundant number, since it is smaller than the sum of its proper divisors (3959418026997).

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

2109245000976 is an frugal number, since it uses more digits than its factorization.

2109245000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2109245000976 in words is "two trillion, one hundred nine billion, two hundred forty-five million, nine hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 3271 4107 5328 5476 6542 8214 9813 10952 12321 13084 16428 19626 21904 24642 26168 29439 32856 39252 49284 52336 58878 65712 78504 98568 117756 121027 157008 197136 235512 242054 363081 471024 484108 726162 968216 1089243 1452324 1936432 2178486 2904648 4356972 4477999 5809296 8713944 8955998 10699441 13433997 17427888 17911996 21398882 26867994 32098323 35823992 40301991 42797764 53735988 64196646 71647984 80603982 85595528 96294969 107471976 128393292 161207964 171191056 192589938 214943952 256786584 322415928 385179876 395879317 513573168 644831856 770359752 791758634 1187637951 1540719504 1583517268 2375275902 3167034536 3562913853 4750551804 6334069072 7125827706 9501103608 14251655412 14647534729 19002207216 28503310824 29295069458 43942604187 57006621648 58590138916 87885208374 117180277832 131827812561 175770416748 234360555664 263655625122 351540833496 527311250244 703081666992 1054622500488 2109245000976