Search a number
-
+
695083978960 = 245717173342131
BaseRepresentation
bin10100001110101100011…
…10111101000011010000
32110110010121010122122121
422013112032331003100
542342012444311320
61251152301544024
7101134554223450
oct12072616750320
92413117118577
10695083978960
11248868870298
12b2866275014
1350713b32857
14258dc463d60
15131326dd8aa
hexa1d63bd0d0

695083978960 has 160 divisors (see below), whose sum is σ = 1956755688192. Its totient is φ = 224161259520.

The previous prime is 695083978933. The next prime is 695083978973. The reversal of 695083978960 is 69879380596.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 695083978960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16477095 + ... + 16519225.

Almost surely, 2695083978960 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 695083978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978377844096).

695083978960 is an abundant number, since it is smaller than the sum of its proper divisors (1261671709232).

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

695083978960 is a wasteful number, since it uses less digits than its factorization.

695083978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43901 (or 43895 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 70.

The spelling of 695083978960 in words is "six hundred ninety-five billion, eighty-three million, nine hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1733 1904 2380 3466 4760 6932 8665 9520 12131 13864 17330 24262 27728 29461 34660 42131 48524 58922 60655 69320 84262 97048 117844 121310 138640 147305 168524 194096 206227 210655 235688 242620 294610 294917 337048 412454 421310 471376 485240 589220 589834 674096 716227 824908 842620 970480 1031135 1178440 1179668 1432454 1474585 1649816 1685240 2062270 2356880 2359336 2864908 2949170 3299632 3370480 3581135 4124540 4718672 5013589 5729816 5898340 7162270 8249080 10027178 11459632 11796680 14324540 16498160 20054356 23593360 25067945 28649080 40108712 50135890 57298160 73013023 80217424 100271780 146026046 200543560 292052092 365065115 401087120 511091161 584104184 730130230 1022182322 1168208368 1241221391 1460260460 2044364644 2482442782 2555455805 2920520920 4088729288 4964885564 5110911610 5841041840 6206106955 8177458576 8688549737 9929771128 10221823220 12412213910 17377099474 19859542256 20443646440 24824427820 34754198948 40887292880 43442748685 49648855640 69508397896 86885497370 99297711280 139016795792 173770994740 347541989480 695083978960