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238115752321650 = 235271660313658791
BaseRepresentation
bin110110001001000010100100…
…110101010010001001110010
31011020002122101012010102010220
4312021002210311102021302
5222202242030043243100
62202232511054433510
7101104203214356630
oct6611024465221162
91136078335112126
10238115752321650
1169964361580085
1222858517802896
13a2b32b04791a8
1442b2c147ac350
151c7de0cdd7aa0
hexd890a4d52272

238115752321650 has 96 divisors (see below), whose sum is σ = 674928773127168. Its totient is φ = 54423175579200.

The previous prime is 238115752321631. The next prime is 238115752321661. The reversal of 238115752321650 is 56123257511832.

It is a super-2 number, since 2×2381157523216502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238115752321593 and 238115752321602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10603755 + ... + 24262545.

It is an arithmetic number, because the mean of its divisors is an integer number (7030508053408).

Almost surely, 2238115752321650 is an apocalyptic number.

238115752321650 is an abundant number, since it is smaller than the sum of its proper divisors (436813020805518).

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

238115752321650 is a wasteful number, since it uses less digits than its factorization.

238115752321650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675416 (or 13675411 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 238115752321650 in words is "two hundred thirty-eight trillion, one hundred fifteen billion, seven hundred fifty-two million, three hundred twenty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 16603 33206 49809 83015 99618 116221 166030 232442 249045 348663 415075 498090 581105 697326 830150 1162210 1245225 1743315 2490450 2905525 3486630 5811050 8716575 13658791 17433150 27317582 40976373 68293955 81952746 95611537 136587910 191223074 204881865 286834611 341469775 409763730 478057685 573669222 682939550 956115370 1024409325 1434173055 2048818650 2390288425 2868346110 4780576850 7170865275 14341730550 226776906973 453553813946 680330720919 1133884534865 1360661441838 1587438348811 2267769069730 3174876697622 3401653604595 4762315046433 5669422674325 6803307209190 7937191744055 9524630092866 11338845348650 15874383488110 17008268022975 23811575232165 34016536045950 39685958720275 47623150464330 79371917440550 119057876160825 238115752321650