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10934067680 = 255677912911
BaseRepresentation
bin10100010111011100…
…01010000111100000
31001020000101012002122
422023232022013200
5134343110131210
65004551003412
7534646020224
oct121356120740
931200335078
1010934067680
114700aa5978
122151969568
131053381443
1475a22a784
1543edb8b55
hex28bb8a1e0

10934067680 has 96 divisors (see below), whose sum is σ = 26551203840. Its totient is φ = 4253483520.

The previous prime is 10934067593. The next prime is 10934067709. The reversal of 10934067680 is 8676043901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840425 + ... + 853335.

It is an arithmetic number, because the mean of its divisors is an integer number (276575040).

Almost surely, 210934067680 is an apocalyptic number.

10934067680 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 10934067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275601920).

10934067680 is an abundant number, since it is smaller than the sum of its proper divisors (15617136160).

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

10934067680 is a wasteful number, since it uses less digits than its factorization.

10934067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13064 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10934067680 in words is "ten billion, nine hundred thirty-four million, sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 79 80 134 158 160 268 316 335 395 536 632 670 790 1072 1264 1340 1580 2144 2528 2680 3160 5293 5360 6320 10586 10720 12640 12911 21172 25822 26465 42344 51644 52930 64555 84688 103288 105860 129110 169376 206576 211720 258220 413152 423440 516440 846880 865037 1019969 1032880 1730074 2039938 2065760 3460148 4079876 4325185 5099845 6920296 8159752 8650370 10199690 13840592 16319504 17300740 20399380 27681184 32639008 34601480 40798760 68337923 69202960 81597520 136675846 138405920 163195040 273351692 341689615 546703384 683379230 1093406768 1366758460 2186813536 2733516920 5467033840 10934067680