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61720698682968 = 23313496957116971
BaseRepresentation
bin11100000100010011110000…
…10100011111111001011000
322002112102220121112101021220
432002021320110133321120
531042212442330323333
6335134033022532040
716000113310422453
oct1602117024377130
9262472817471256
1061720698682968
1118736668395556
126b09a75137020
132859310659660
14113542508049a
1572076c64e8b3
hex38227851fe58

61720698682968 has 128 divisors (see below), whose sum is σ = 166257502387200. Its totient is φ = 18981114393600.

The previous prime is 61720698682939. The next prime is 61720698683009. The reversal of 61720698682968 is 86928689602716.

It is a happy number.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 61720698682893 and 61720698682902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8853919723 + ... + 8853926693.

It is an arithmetic number, because the mean of its divisors is an integer number (1298886737400).

Almost surely, 261720698682968 is an apocalyptic number.

It is an amenable number.

61720698682968 is an abundant number, since it is smaller than the sum of its proper divisors (104536803704232).

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

61720698682968 is a wasteful number, since it uses less digits than its factorization.

61720698682968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17673 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 78.

The spelling of 61720698682968 in words is "sixty-one trillion, seven hundred twenty billion, six hundred ninety-eight million, six hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 4969 5711 6971 9938 11422 13942 14907 17133 19876 20913 22844 27884 29814 34266 39752 41826 45688 55768 59628 64597 68532 74243 83652 90623 119256 129194 137064 148486 167304 181246 193791 222729 258388 271869 296972 362492 387582 445458 516776 543738 593944 724984 775164 890916 1087476 1550328 1781832 2174952 28377959 34638899 39811381 56755918 69277798 79622762 85133877 103916697 113511836 119434143 138555596 159245524 170267754 207833394 227023672 238868286 277111192 318491048 340535508 368913467 415666788 450305687 477736572 517547953 681071016 737826934 831333576 900611374 955473144 1035095906 1106740401 1350917061 1475653868 1552643859 1801222748 2070191812 2213480802 2701834122 2951307736 3105287718 3602445496 4140383624 4426961604 5403668244 6210575436 8853923208 10807336488 12421150872 197822752189 395645504378 593468256567 791291008756 1186936513134 1582582017512 2373873026268 2571695778457 4747746052536 5143391556914 7715087335371 10286783113828 15430174670742 20573566227656 30860349341484 61720698682968