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69020031744 = 283327136847
BaseRepresentation
bin100000001000111101…
…0100001101100000000
320121011010100220011000
41000101322201230000
52112323112003434
651412442452000
74662244406226
oct1002172415400
9217133326130
1069020031744
11272a9010454
1211462804000
13667c402191
1434aa800b16
151bde589b99
hex1011ea1b00

69020031744 has 144 divisors (see below), whose sum is σ = 204863088640. Its totient is φ = 22921159680.

The previous prime is 69020031737. The next prime is 69020031761. The reversal of 69020031744 is 44713002096.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69020031699 and 69020031708.

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, 1854729 + ... + 1891575.

Almost surely, 269020031744 is an apocalyptic number.

69020031744 is a gapful number since it is divisible by the number (64) 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 69020031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102431544320).

69020031744 is an abundant number, since it is smaller than the sum of its proper divisors (135843056896).

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

69020031744 is a wasteful number, since it uses less digits than its factorization.

69020031744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37143 (or 37123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 69020031744 in words is "sixty-nine billion, twenty million, thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 271 288 384 432 542 576 768 813 864 1084 1152 1626 1728 2168 2304 2439 3252 3456 4336 4878 6504 6912 7317 8672 9756 13008 14634 17344 19512 26016 29268 34688 36847 39024 52032 58536 69376 73694 78048 104064 110541 117072 147388 156096 208128 221082 234144 294776 312192 331623 442164 468288 589552 624384 663246 884328 936576 994869 1179104 1326492 1768656 1873152 1989738 2358208 2652984 3537312 3979476 4716416 5305968 7074624 7958952 9432832 9985537 10611936 14149248 15917904 19971074 21223872 28298496 29956611 31835808 39942148 42447744 59913222 63671616 79884296 84895488 89869833 119826444 127343232 159768592 179739666 239652888 254686464 269609499 319537184 359479332 479305776 539218998 639074368 718958664 958611552 1078437996 1278148736 1437917328 1917223104 2156875992 2556297472 2875834656 3834446208 4313751984 5751669312 7668892416 8627503968 11503338624 17255007936 23006677248 34510015872 69020031744