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61042410612 = 2232171132833119
BaseRepresentation
bin111000110110011010…
…010100010001110100
312211120011001202021200
4320312122110101310
52000003324114422
644013102412500
74260454633461
oct706632242164
9184504052250
1061042410612
1123984938637
12b9b6b91130
1359aa6c61c1
142d510c0668
1518c40102ac
hexe36694474

61042410612 has 144 divisors (see below), whose sum is σ = 165459490560. Its totient is φ = 18907951104.

The previous prime is 61042410593. The next prime is 61042410631. The reversal of 61042410612 is 21601424016.

61042410612 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 2 + 41 + 0 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (61042410593) and next prime (61042410631).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19569589 + ... + 19572707.

It is an arithmetic number, because the mean of its divisors is an integer number (1149024240).

Almost surely, 261042410612 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 61042410612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82729745280).

61042410612 is an abundant number, since it is smaller than the sum of its proper divisors (104417079948).

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

61042410612 is a wasteful number, since it uses less digits than its factorization.

61042410612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61042410612 its reverse (21601424016), we get a palindrome (82643834628).

The spelling of 61042410612 in words is "sixty-one billion, forty-two million, four hundred ten thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 283 306 339 452 566 612 678 849 1017 1132 1356 1698 1921 2034 2547 3119 3396 3842 4068 4811 5094 5763 6238 7684 9357 9622 10188 11526 12476 14433 17289 18714 19244 23052 28071 28866 31979 34578 37428 43299 53023 56142 57732 63958 69156 86598 95937 106046 112284 127916 159069 173196 191874 212092 287811 318138 352447 383748 477207 543643 575622 636276 704894 882677 954414 1057341 1087286 1151244 1409788 1630929 1765354 1908828 2114682 2174572 2648031 3172023 3261858 3530708 4229364 4892787 5296062 5991599 6344046 6523716 7944093 9785574 10592124 11983198 12688092 15005509 15888186 17974797 19571148 23966396 30011018 31776372 35949594 45016527 53924391 60022036 71899188 90033054 99742501 107848782 135049581 180066108 199485002 215697564 270099162 299227503 398970004 540198324 598455006 897682509 1196910012 1695622517 1795365018 3391245034 3590730036 5086867551 6782490068 10173735102 15260602653 20347470204 30521205306 61042410612