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148041568880 = 24519318337853
BaseRepresentation
bin1000100111011111110…
…1110001001001110000
3112011010021022220102122
42021313331301021300
54411142120201010
6152002004333412
713460415400352
oct2116775611160
9464107286378
10148041568880
1157869673937
12248369a4268
1310c638caa8a
1472456370d2
153cb6bcd855
hex2277f71270

148041568880 has 160 divisors (see below), whose sum is σ = 378515773440. Its totient is φ = 53634769920.

The previous prime is 148041568819. The next prime is 148041568901. The reversal of 148041568880 is 88865140841.

It is a super-2 number, since 2×1480415688802 (a number of 23 digits) contains 22 as substring.

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, 3892034 + ... + 3929886.

It is an arithmetic number, because the mean of its divisors is an integer number (2365723584).

Almost surely, 2148041568880 is an apocalyptic number.

148041568880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148041568880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189257886720).

148041568880 is an abundant number, since it is smaller than the sum of its proper divisors (230474204560).

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

148041568880 is a wasteful number, since it uses less digits than its factorization.

148041568880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37999 (or 37993 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 53.

The spelling of 148041568880 in words is "one hundred forty-eight billion, forty-one million, five hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 83 95 124 152 155 166 190 248 304 310 332 380 415 496 589 620 664 760 830 1178 1240 1328 1520 1577 1660 2356 2480 2573 2945 3154 3320 4712 5146 5890 6308 6640 7885 9424 10292 11780 12616 12865 15770 20584 23560 25232 25730 31540 37853 41168 47120 48887 51460 63080 75706 97774 102920 126160 151412 189265 195548 205840 244435 302824 378530 391096 488870 605648 719207 757060 782192 977740 1173443 1438414 1514120 1955480 2346886 2876828 3028240 3141799 3596035 3910960 4693772 5753656 5867215 6283598 7192070 9387544 11507312 11734430 12567196 14384140 15708995 18775088 22295417 23468860 25134392 28768280 31417990 44590834 46937720 50268784 57536560 59694181 62835980 89181668 93875440 97395769 111477085 119388362 125671960 178363336 194791538 222954170 238776724 251343920 298470905 356726672 389583076 445908340 477553448 486978845 596941810 779166152 891816680 955106896 973957690 1193883620 1558332304 1783633360 1850519611 1947915380 2387767240 3701039222 3895830760 4775534480 7402078444 7791661520 9252598055 14804156888 18505196110 29608313776 37010392220 74020784440 148041568880