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10398933120 = 273517331307
BaseRepresentation
bin10011010111101001…
…10010000010000000
3222211201102112111010
421223310302002000
5132244111324440
64435513120520
7515460321162
oct115364620200
928751375433
1010398933120
114456a21404
1220226b9140
13c99547284
1470912a932
1540ce10580
hex26bd32080

10398933120 has 128 divisors (see below), whose sum is σ = 33339263040. Its totient is φ = 2756931584.

The previous prime is 10398933091. The next prime is 10398933143. The reversal of 10398933120 is 2133989301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316507 + ... + 347813.

Almost surely, 210398933120 is an apocalyptic number.

10398933120 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 10398933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669631520).

10398933120 is an abundant number, since it is smaller than the sum of its proper divisors (22940329920).

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

10398933120 is a wasteful number, since it uses less digits than its factorization.

10398933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502 (or 31490 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 10398933120 in words is "ten billion, three hundred ninety-eight million, nine hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 320 346 384 480 519 640 692 865 960 1038 1384 1730 1920 2076 2595 2768 3460 4152 5190 5536 6920 8304 10380 11072 13840 16608 20760 22144 27680 31307 33216 41520 55360 62614 66432 83040 93921 110720 125228 156535 166080 187842 250456 313070 332160 375684 469605 500912 626140 751368 939210 1001824 1252280 1502736 1878420 2003648 2504560 3005472 3756840 4007296 5009120 5416111 6010944 7513680 10018240 10832222 12021888 15027360 16248333 20036480 21664444 27080555 30054720 32496666 43328888 54161110 60109440 64993332 81241665 86657776 108322220 129986664 162483330 173315552 216644440 259973328 324966660 346631104 433288880 519946656 649933320 693262208 866577760 1039893312 1299866640 1733155520 2079786624 2599733280 3466311040 5199466560 10398933120