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97826034420 = 22345591023499
BaseRepresentation
bin101101100011011100…
…0101101001011110100
3100100111122221110010000
41123012320231023310
53100321431100140
6112535103231300
710032135400302
oct1330670551364
9310448843100
1097826034420
1138540278634
1216b618a8530
1392c02c508a
144a4043d272
152828461a30
hex16c6e2d2f4

97826034420 has 120 divisors (see below), whose sum is σ = 312085620000. Its totient is φ = 25644765888.

The previous prime is 97826034419. The next prime is 97826034437. The reversal of 97826034420 is 2443062879.

97826034420 is a `hidden beast` number, since 97 + 82 + 60 + 3 + 4 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416170 + ... + 607329.

It is an arithmetic number, because the mean of its divisors is an integer number (2600713500).

Almost surely, 297826034420 is an apocalyptic number.

97826034420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97826034420 is an abundant number, since it is smaller than the sum of its proper divisors (214259585580).

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

97826034420 is a wasteful number, since it uses less digits than its factorization.

97826034420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023579 (or 1023568 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 97826034420 in words is "ninety-seven billion, eight hundred twenty-six million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1770 2124 2655 3186 3540 4779 5310 6372 7965 9558 10620 15930 19116 23895 31860 47790 95580 1023499 2046998 3070497 4093996 5117495 6140994 9211491 10234990 12281988 15352485 18422982 20469980 27634473 30704970 36845964 46057455 55268946 60386441 61409940 82903419 92114910 110537892 120772882 138172365 165806838 181159323 184229820 241545764 276344730 301932205 331613676 362318646 414517095 543477969 552689460 603864410 724637292 829034190 905796615 1086955938 1207728820 1630433907 1658068380 1811593230 2173911876 2717389845 3260867814 3623186460 4891301721 5434779690 6521735628 8152169535 9782603442 10869559380 16304339070 19565206884 24456508605 32608678140 48913017210 97826034420