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117302389248 = 2931117408389
BaseRepresentation
bin110110100111111000…
…1000110101000000000
3102012210000010210020010
41231033301012220000
53410213402423443
6125515445144520
711321601600012
oct1551761065000
9365700123203
10117302389248
1145825160250
121a8983bb140
13b0a53592a5
14596ad761b2
1530b8243733
hex1b4fc46a00

117302389248 has 160 divisors (see below), whose sum is σ = 360964486080. Its totient is φ = 33455144960.

The previous prime is 117302389247. The next prime is 117302389249. The reversal of 117302389248 is 842983203711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117302389247) and next prime (117302389249).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 117302389197 and 117302389206.

It is not an unprimeable number, because it can be changed into a prime (117302389247) 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, 83038 + ... + 491426.

It is an arithmetic number, because the mean of its divisors is an integer number (2256028038).

Almost surely, 2117302389248 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 117302389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180482243040).

117302389248 is an abundant number, since it is smaller than the sum of its proper divisors (243662096832).

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

117302389248 is a wasteful number, since it uses less digits than its factorization.

117302389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408438 (or 408422 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 117302389248 in words is "one hundred seventeen billion, three hundred two million, three hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5632 5984 6528 8448 8704 8976 11968 13056 16896 17952 23936 26112 35904 47872 71808 95744 143616 287232 408389 816778 1225167 1633556 2450334 3267112 4492279 4900668 6534224 6942613 8984558 9801336 13068448 13476837 13885226 17969116 19602672 20827839 26136896 26953674 27770452 35938232 39205344 41655678 52273792 53907348 55540904 71876464 76368743 78410688 83311356 104547584 107814696 111081808 143752928 152737486 156821376 166622712 209095168 215629392 222163616 229106229 287505856 305474972 313642752 333245424 431258784 444327232 458212458 575011712 610949944 627285504 666490848 862517568 888654464 916424916 1150023424 1221899888 1332981696 1725035136 1777308928 1832849832 2300046848 2443799776 2665963392 3450070272 3554617856 3665699664 4887599552 5331926784 6900140544 7331399328 9775199104 10663853568 14662798656 19550398208 29325597312 39100796416 58651194624 117302389248