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61513603265324 = 22721967886127823
BaseRepresentation
bin11011111110010010000000…
…11110001011001100101100
322001210122100202222010121102
431333021000132023030230
531030314324413442244
6334454543105222232
715646132301420600
oct1577110036131454
9261718322863542
1061513603265324
1118666855429031
126a958b9331978
132842928336702
1411293ba8c5500
1571a19b31454e
hex37f24078b32c

61513603265324 has 144 divisors (see below), whose sum is σ = 133802156920320. Its totient is φ = 24599019392640.

The previous prime is 61513603265287. The next prime is 61513603265339. The reversal of 61513603265324 is 42356230631516.

61513603265324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210876477 + ... + 2210904299.

It is an arithmetic number, because the mean of its divisors is an integer number (929181645280).

Almost surely, 261513603265324 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 61513603265324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66901078460160).

61513603265324 is an abundant number, since it is smaller than the sum of its proper divisors (72288553654996).

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

61513603265324 is a wasteful number, since it uses less digits than its factorization.

61513603265324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36788 (or 36779 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 61513603265324 in words is "sixty-one trillion, five hundred thirteen billion, six hundred three million, two hundred sixty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 49 67 76 98 133 134 196 266 268 469 532 931 938 1273 1862 1876 2546 3283 3724 5092 6566 8861 8911 13132 17722 17822 27823 35444 35644 55646 62027 62377 111292 124054 124754 168359 194761 248108 249508 336718 389522 434189 528637 593687 673436 779044 868378 1057274 1178513 1187374 1363327 1736756 1864141 2114548 2357026 2374748 2726654 3700459 3728282 4155809 4714052 5453308 7400918 7456564 8249591 8311618 11280053 13048987 14801836 16499182 16623236 22560106 25903213 26097974 29090663 32998364 35418679 45120212 51806426 52195948 58181326 70837358 78960371 91342909 103612852 116362652 141674716 157920742 182685818 246539603 247930753 315841484 365371636 493079206 495861506 552722597 986158412 991723012 1105445194 1725777221 1735515271 2210890388 3451554442 3471030542 4684252457 6903108884 6942061084 9368504914 12080440547 16518153401 18737009828 24160881094 32789767199 33036306802 48321762188 65579534398 66072613604 115627073807 131159068796 229528370393 231254147614 313844914619 459056740786 462508295228 627689829238 809389516649 918113481572 1255379658476 1618779033298 2196914402333 3237558066596 4393828804666 8787657609332 15378400816331 30756801632662 61513603265324