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1664619552 = 25338232341
BaseRepresentation
bin110001100111000…
…0001010000100000
311022000021102202000
41203032001100200
511402120311202
6433102324000
756152014141
oct14316012040
94260242660
101664619552
117846a8342
123a5589600
13206b3c5ab
1411b115ac8
159b21591c
hex63381420

1664619552 has 96 divisors (see below), whose sum is σ = 4863116160. Its totient is φ = 553962240.

The previous prime is 1664619547. The next prime is 1664619587. The reversal of 1664619552 is 2559164661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1664619498 and 1664619507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709902 + ... + 712242.

It is an arithmetic number, because the mean of its divisors is an integer number (50657460).

Almost surely, 21664619552 is an apocalyptic number.

1664619552 is a gapful number since it is divisible by the number (12) 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 1664619552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431558080).

1664619552 is an abundant number, since it is smaller than the sum of its proper divisors (3198496608).

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

1664619552 is a wasteful number, since it uses less digits than its factorization.

1664619552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3169 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1664619552 is about 40799.7494109952. The cubic root of 1664619552 is about 1185.1454780536.

The spelling of 1664619552 in words is "one billion, six hundred sixty-four million, six hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 823 864 1646 2341 2469 3292 4682 4938 6584 7023 7407 9364 9876 13168 14046 14814 18728 19752 21069 22221 26336 28092 29628 37456 39504 42138 44442 56184 59256 63207 74912 79008 84276 88884 112368 118512 126414 168552 177768 224736 237024 252828 337104 355536 505656 674208 711072 1011312 1926643 2022624 3853286 5779929 7706572 11559858 15413144 17339787 23119716 30826288 34679574 46239432 52019361 61652576 69359148 92478864 104038722 138718296 184957728 208077444 277436592 416154888 554873184 832309776 1664619552