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65994072240 = 24353139722343
BaseRepresentation
bin111101011101100011…
…011010000010110000
320022100020111020001210
4331131203122002300
52040123440302430
650152310000120
74524252233655
oct753543320260
9208306436053
1065994072240
1125a95a2a278
1210959346040
1362b952bab5
1432a099bc2c
151ab3ab92b0
hexf5d8da0b0

65994072240 has 160 divisors (see below), whose sum is σ = 211722448896. Its totient is φ = 16987069440.

The previous prime is 65994072239. The next prime is 65994072253. The reversal of 65994072240 is 4227049956.

65994072240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 65994072240.

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, 2942509 + ... + 2964851.

Almost surely, 265994072240 is an apocalyptic number.

65994072240 is a gapful number since it is divisible by the number (60) 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 65994072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105861224448).

65994072240 is an abundant number, since it is smaller than the sum of its proper divisors (145728376656).

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

65994072240 is a wasteful number, since it uses less digits than its factorization.

65994072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22787 (or 22781 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 65994072240 in words is "sixty-five billion, nine hundred ninety-four million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 397 465 496 620 744 794 930 1191 1240 1488 1588 1860 1985 2382 2480 3176 3720 3970 4764 5955 6352 7440 7940 9528 11910 12307 15880 19056 22343 23820 24614 31760 36921 44686 47640 49228 61535 67029 73842 89372 95280 98456 111715 123070 134058 147684 178744 184605 196912 223430 246140 268116 295368 335145 357488 369210 446860 492280 536232 590736 670290 692633 738420 893720 984560 1072464 1340580 1385266 1476840 1787440 2077899 2681160 2770532 2953680 3463165 4155798 5362320 5541064 6926330 8311596 8870171 10389495 11082128 13852660 16623192 17740342 20778990 26610513 27705320 33246384 35480684 41557980 44350855 53221026 55410640 70961368 83115960 88701710 106442052 133052565 141922736 166231920 177403420 212884104 266105130 274975301 354806840 425768208 532210260 549950602 709613680 824925903 1064420520 1099901204 1374876505 1649851806 2128841040 2199802408 2749753010 3299703612 4124629515 4399604816 5499506020 6599407224 8249259030 10999012040 13198814448 16498518060 21998024080 32997036120 65994072240