Search a number
-
+
66428807040 = 2732511532779
BaseRepresentation
bin111101110111011101…
…110010011110000000
320100110112112001002200
4331313131302132000
52042021233311130
650303355513200
74541111354241
oct756735623600
9210415461080
1066428807040
1126199369a32
1210a5aa58800
13635861251b
143302604cc8
151adbd3e760
hexf77772780

66428807040 has 96 divisors (see below), whose sum is σ = 229386994200. Its totient is φ = 17714347008.

The previous prime is 66428806987. The next prime is 66428807101. The reversal of 66428807040 is 4070882466.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5760630 + ... + 5772149.

Almost surely, 266428807040 is an apocalyptic number.

66428807040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66428807040 is an abundant number, since it is smaller than the sum of its proper divisors (162958187160).

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

66428807040 is a wasteful number, since it uses less digits than its factorization.

66428807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532804 (or 11532789 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 66428807040 in words is "sixty-six billion, four hundred twenty-eight million, eight hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 11532779 23065558 34598337 46131116 57663895 69196674 92262232 103795011 115327790 138393348 172991685 184524464 207590022 230655580 276786696 345983370 369048928 415180044 461311160 518975055 553573392 691966740 738097856 830360088 922622320 1037950110 1107146784 1383933480 1476195712 1660720176 1845244640 2075900220 2214293568 2767866960 3321440352 3690489280 4151800440 4428587136 5535733920 6642880704 7380978560 8303600880 11071467840 13285761408 16607201760 22142935680 33214403520 66428807040