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20291715552 = 2531091131312
BaseRepresentation
bin10010111001011110…
…110000000111100000
31221101011102221202110
4102321132300013200
5313024134344202
613153305515320
71315563510363
oct227136600740
957334387673
1020291715552
118673165259
123b237a2b40
131bb4c649a4
14da6d400da
157db69026c
hex4b97b01e0

20291715552 has 144 divisors (see below), whose sum is σ = 54647263440. Its totient is φ = 6591836160.

The previous prime is 20291715527. The next prime is 20291715553. The reversal of 20291715552 is 25551719202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20291715552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20291715553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154898527 + ... + 154898657.

It is an arithmetic number, because the mean of its divisors is an integer number (379494885).

Almost surely, 220291715552 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 20291715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27323631720).

20291715552 is an abundant number, since it is smaller than the sum of its proper divisors (34355547888).

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

20291715552 is a wasteful number, since it uses less digits than its factorization.

20291715552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 20291715552 in words is "twenty billion, two hundred ninety-one million, seven hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 113 131 218 226 262 327 339 393 436 452 524 654 678 786 872 904 1048 1308 1356 1572 1744 1808 2096 2616 2712 3144 3488 3616 4192 5232 5424 6288 10464 10848 12317 12576 14279 14803 17161 24634 28558 29606 34322 36951 42837 44409 49268 51483 57116 59212 68644 73902 85674 88818 98536 102966 114232 118424 137288 147804 171348 177636 197072 205932 228464 236848 274576 295608 342696 355272 394144 411864 456928 473696 549152 591216 685392 710544 823728 1182432 1370784 1421088 1613527 1647456 1870549 1939193 3227054 3741098 3878386 4840581 5611647 5817579 6454108 7482196 7756772 9681162 11223294 11635158 12908216 14964392 15513544 19362324 22446588 23270316 25816432 29928784 31027088 38724648 44893176 46540632 51632864 59857568 62054176 77449296 89786352 93081264 154898592 179572704 186162528 211372037 422744074 634116111 845488148 1268232222 1690976296 2536464444 3381952592 5072928888 6763905184 10145857776 20291715552