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3997606144 = 2877330559
BaseRepresentation
bin1110111001000110…
…1010000100000000
3101022121012102200211
43232101222010000
531141341344034
61500402323504
7201031043260
oct35621520400
911277172624
103997606144
1117715a9734
12936959594
134b9293c2c
1429cccd7a0
15185e50d64
hexee46a100

3997606144 has 72 divisors (see below), whose sum is σ = 9244766720. Its totient is φ = 1689735168.

The previous prime is 3997606097. The next prime is 3997606153. The reversal of 3997606144 is 4416067993.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115537 + ... + 146095.

Almost surely, 23997606144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622383360).

3997606144 is an abundant number, since it is smaller than the sum of its proper divisors (5247160576).

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

3997606144 is an equidigital number, since it uses as much as digits as its factorization.

3997606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30655 (or 30641 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 3997606144 is about 63226.6252776471. The cubic root of 3997606144 is about 1587.0843213148.

The spelling of 3997606144 in words is "three billion, nine hundred ninety-seven million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1168 1792 2044 2336 4088 4672 8176 9344 16352 18688 30559 32704 61118 65408 122236 130816 213913 244472 427826 488944 855652 977888 1711304 1955776 2230807 3422608 3911552 4461614 6845216 7823104 8923228 13690432 15615649 17846456 27380864 31231298 35692912 54761728 62462596 71385824 124925192 142771648 249850384 285543296 499700768 571086592 999401536 1998803072 3997606144