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61028908974 = 233111731119433
BaseRepresentation
bin111000110101100110…
…110011111110101110
312211112012122210112000
4320311212303332232
51444441400041344
644011501153130
74260232111215
oct706546637656
9184465583460
1061028908974
1123978256660
12b9b255b7a6
1359a7979877
142d4d3a807c
1518c2c44a69
hexe359b3fae

61028908974 has 128 divisors (see below), whose sum is σ = 157163535360. Its totient is φ = 17348889600.

The previous prime is 61028908951. The next prime is 61028908987. The reversal of 61028908974 is 47980982016.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61028908974.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3130762 + ... + 3150194.

It is an arithmetic number, because the mean of its divisors is an integer number (1227840120).

Almost surely, 261028908974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61028908974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78581767680).

61028908974 is an abundant number, since it is smaller than the sum of its proper divisors (96134626386).

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

61028908974 is a wasteful number, since it uses less digits than its factorization.

61028908974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19783 (or 19777 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 61028908974 in words is "sixty-one billion, twenty-eight million, nine hundred eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 311 374 459 561 594 622 918 933 1122 1683 1866 2799 3366 3421 5049 5287 5598 6842 8397 10098 10263 10574 15861 16794 19433 20526 30789 31722 38866 47583 58157 58299 61578 92367 95166 116314 116598 142749 174471 174897 184734 213763 285498 330361 348942 349794 427526 523413 524691 641289 660722 991083 1046826 1049382 1282578 1570239 1923867 1982166 2973249 3140478 3633971 3847734 5771601 5946498 6043663 7267942 8919747 10901913 11543202 12087326 17839494 18130989 21803826 32705739 36261978 54392967 65411478 66480293 98117217 102742271 108785934 132960586 163178901 196234434 199440879 205484542 308226813 326357802 398881758 598322637 616453626 924680439 1130164981 1196645274 1794967911 1849360878 2260329962 2774041317 3390494943 3589935822 5548082634 6780989886 10171484829 20342969658 30514454487 61028908974