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36402412640 = 2551120899901
BaseRepresentation
bin100001111001110000…
…001011110001100000
310110221221120011102012
4201321300023301200
51044023004201030
624420102012052
72426041254626
oct417160136140
9113857504365
1036402412640
1114490238450
12707b117028
133581938649
141a94889516
15e30c50095
hex879c0bc60

36402412640 has 96 divisors (see below), whose sum is σ = 93873336480. Its totient is φ = 13229568000.

The previous prime is 36402412609. The next prime is 36402412649. The reversal of 36402412640 is 4621420463.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 36402412597 and 36402412606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36402412649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3671690 + ... + 3681590.

It is an arithmetic number, because the mean of its divisors is an integer number (977847255).

Almost surely, 236402412640 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 36402412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46936668240).

36402412640 is an abundant number, since it is smaller than the sum of its proper divisors (57470923840).

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

36402412640 is a wasteful number, since it uses less digits than its factorization.

36402412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 36402412640 in words is "thirty-six billion, four hundred two million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2089 4178 8356 9901 10445 16712 19802 20890 22979 33424 39604 41780 45958 49505 66848 79208 83560 91916 99010 108911 114895 158416 167120 183832 198020 217822 229790 316832 334240 367664 396040 435644 459580 544555 735328 792080 871288 919160 1089110 1584160 1742576 1838320 2178220 3485152 3676640 4356440 8712880 17425760 20683189 41366378 82732756 103415945 165465512 206831890 227515079 330931024 413663780 455030158 661862048 827327560 910060316 1137575395 1654655120 1820120632 2275150790 3309310240 3640241264 4550301580 7280482528 9100603160 18201206320 36402412640