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130921217297784 = 2334534213190481
BaseRepresentation
bin11101110001001001111000…
…101001101000110101111000
3122011112221112201212202220000
4131301021320221220311320
5114130003123112012114
61142240213225433000
736401513545430154
oct3561117051506570
9564487481782800
10130921217297784
1138796416067971
12128254aa93b760
135808a82988864
1424488993c0064
151020864646e09
hex771278a68d78

130921217297784 has 160 divisors (see below), whose sum is σ = 373632509028240. Its totient is φ = 42815512396800.

The previous prime is 130921217297737. The next prime is 130921217297833. The reversal of 130921217297784 is 487792712129031.

130921217297784 is a `hidden beast` number, since 1 + 30 + 9 + 21 + 217 + 297 + 7 + 84 = 666.

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, 1446901824 + ... + 1446992304.

Almost surely, 2130921217297784 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 130921217297784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186816254514120).

130921217297784 is an abundant number, since it is smaller than the sum of its proper divisors (242711291730456).

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

130921217297784 is a wasteful number, since it uses less digits than its factorization.

130921217297784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132683 (or 132670 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 130921217297784 in words is "one hundred thirty trillion, nine hundred twenty-one billion, two hundred seventeen million, two hundred ninety-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 42131 84262 90481 126393 168524 180962 252786 271443 337048 361924 379179 505572 542886 723848 758358 814329 1011144 1085772 1137537 1516716 1628658 2171544 2232943 2275074 2442987 3033432 3257316 3412611 4465886 4550148 4795493 4885974 6514632 6698829 6825222 7328961 8931772 9100296 9590986 9771948 13397658 13650444 14386479 14657922 17863544 19181972 19543896 20096487 26795316 27300888 28772958 29315844 38363944 40192974 43159437 53590632 57545916 58631688 60289461 80385948 86318874 115091832 120578922 129478311 160771896 172637748 180868383 241157844 258956622 345275496 361736766 388434933 482315688 517913244 723473532 776869866 1035826488 1446947064 1553739732 3107479464 3812055011 7624110022 11436165033 15248220044 22872330066 30496440088 34308495099 45744660132 68616990198 91489320264 102925485297 137233980396 202038915583 205850970594 274467960792 308776455891 404077831166 411701941188 606116746749 617552911782 808155662332 823403882376 1212233493498 1235105823564 1616311324664 1818350240247 2424466986996 2470211647128 3636700480494 4848933973992 5455050720741 7273400960988 10910101441482 14546801921976 16365152162223 21820202882964 32730304324446 43640405765928 65460608648892 130921217297784