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20295872304 = 2437379157467
BaseRepresentation
bin10010111001101110…
…100110111100110000
31221101110021010202020
4102321232212330300
5313031220403204
613153534551440
71315644032241
oct227156467460
957343233666
1020295872304
118675544294
123b25068580
131bb5a8b9c6
14da7702cc8
157dbc11bd9
hex4b9ba6f30

20295872304 has 160 divisors (see below), whose sum is σ = 54280811520. Its totient is φ = 6532171776.

The previous prime is 20295872279. The next prime is 20295872351. The reversal of 20295872304 is 40327859202.

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, 43459879 + ... + 43460345.

It is an arithmetic number, because the mean of its divisors is an integer number (339255072).

Almost surely, 220295872304 is an apocalyptic number.

20295872304 is a gapful number since it is divisible by the number (24) 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 20295872304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27140405760).

20295872304 is an abundant number, since it is smaller than the sum of its proper divisors (33984939216).

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

20295872304 is a wasteful number, since it uses less digits than its factorization.

20295872304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20295872304 in words is "twenty billion, two hundred ninety-five million, eight hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 79 146 157 158 219 237 292 314 316 438 467 471 474 584 628 632 876 934 942 948 1168 1256 1264 1401 1752 1868 1884 1896 2512 2802 3504 3736 3768 3792 5604 5767 7472 7536 11208 11461 11534 12403 17301 22416 22922 23068 24806 34091 34383 34602 36893 37209 45844 46136 49612 68182 68766 69204 73319 73786 74418 91688 92272 99224 102273 110679 136364 137532 138408 146638 147572 148836 183376 198448 204546 219957 221358 272728 275064 276816 293276 295144 297672 409092 439914 442716 545456 550128 586552 590288 595344 818184 879828 885432 905419 1173104 1636368 1759656 1770864 1810838 2693189 2716257 3519312 3621676 5352287 5386378 5432514 5792201 7243352 8079567 10704574 10772756 10865028 11584402 14486704 16056861 16159134 17376603 21409148 21545512 21730056 23168804 32113722 32318268 34753206 42818296 43091024 43460112 46337608 64227444 64636536 69506412 85636592 92675216 128454888 129273072 139012824 256909776 278025648 422830673 845661346 1268492019 1691322692 2536984038 3382645384 5073968076 6765290768 10147936152 20295872304