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3998770464 = 2531317211087
BaseRepresentation
bin1110111001011000…
…0110010100100000
3101022200101120211210
43232112012110200
531142141123324
61500443310120
7201043662633
oct35626062440
911280346753
103998770464
111772224487
1293721b340
134b95b0b90
1429d113c1a
151860d0d29
hexee586520

3998770464 has 144 divisors (see below), whose sum is σ = 12009368448. Its totient is φ = 1157910528.

The previous prime is 3998770463. The next prime is 3998770469. The reversal of 3998770464 is 4640778993.

It is not an unprimeable number, because it can be changed into a prime (3998770463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355129 + ... + 366215.

It is an arithmetic number, because the mean of its divisors is an integer number (83398392).

Almost surely, 23998770464 is an apocalyptic number.

3998770464 is a gapful number since it is divisible by the number (34) 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 3998770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004684224).

3998770464 is an abundant number, since it is smaller than the sum of its proper divisors (8010597984).

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

3998770464 is a wasteful number, since it uses less digits than its factorization.

3998770464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The square root of 3998770464 is about 63235.8321207209. The cubic root of 3998770464 is about 1587.2383880720.

The spelling of 3998770464 in words is "three billion, nine hundred ninety-eight million, seven hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 289 312 408 416 442 544 578 624 663 816 867 884 1156 1248 1326 1632 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7072 7514 9248 10608 11087 11271 13872 15028 21216 22174 22542 27744 30056 33261 44348 45084 60112 66522 88696 90168 120224 133044 144131 177392 180336 188479 266088 288262 354784 360672 376958 432393 532176 565437 576524 753916 864786 1064352 1130874 1153048 1507832 1729572 2261748 2306096 2450227 3015664 3204143 3459144 4523496 4612192 4900454 6031328 6408286 6918288 7350681 9046992 9612429 9800908 12816572 13836576 14701362 18093984 19224858 19601816 25633144 29402724 38449716 39203632 41653859 51266288 58805448 76899432 78407264 83307718 102532576 117610896 124961577 153798864 166615436 235221792 249923154 307597728 333230872 499846308 666461744 999692616 1332923488 1999385232 3998770464