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61619381640 = 23335563101341
BaseRepresentation
bin111001011000110011…
…010010010110001000
312220001100201220202000
4321120303102112020
52002144030203030
644150233111000
74310662046655
oct713063222610
9186040656660
1061619381640
11241505974a3
12bb38258460
135a700baa8b
142da7990c2c
1519099ce860
hexe58cd2588

61619381640 has 128 divisors (see below), whose sum is σ = 205764796800. Its totient is φ = 16402487040.

The previous prime is 61619381623. The next prime is 61619381647. The reversal of 61619381640 is 4618391616.

61619381640 is a `hidden beast` number, since 616 + 19 + 3 + 8 + 16 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61619381647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557370 + ... + 658710.

It is an arithmetic number, because the mean of its divisors is an integer number (1607537475).

Almost surely, 261619381640 is an apocalyptic number.

61619381640 is a gapful number since it is divisible by the number (60) 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 61619381640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102882398400).

61619381640 is an abundant number, since it is smaller than the sum of its proper divisors (144145415160).

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

61619381640 is a wasteful number, since it uses less digits than its factorization.

61619381640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101924 (or 101914 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61619381640 in words is "sixty-one billion, six hundred nineteen million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 563 1080 1126 1689 2252 2815 3378 4504 5067 5630 6756 8445 10134 11260 13512 15201 16890 20268 22520 25335 30402 33780 40536 50670 60804 67560 76005 101340 101341 121608 152010 202680 202682 304020 304023 405364 506705 608040 608046 810728 912069 1013410 1216092 1520115 1824138 2026820 2432184 2736207 3040230 3648276 4053640 4560345 5472414 6080460 7296552 9120690 10944828 12160920 13681035 18241380 21889656 27362070 36482760 54724140 57054983 109448280 114109966 171164949 228219932 285274915 342329898 456439864 513494847 570549830 684659796 855824745 1026989694 1141099660 1369319592 1540484541 1711649490 2053979388 2282199320 2567474235 3080969082 3423298980 4107958776 5134948470 6161938164 6846597960 7702422705 10269896940 12323876328 15404845410 20539793880 30809690820 61619381640