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12377453480 = 2357195574177
BaseRepresentation
bin10111000011100000…
…01111001110101000
31011221121100210011222
423201300033032220
5200322112002410
65404111441212
7615503422130
oct134160171650
934847323158
1012377453480
115281827aa7
122495226208
131223410892
14855bd3ac0
154c697d955
hex2e1c0f3a8

12377453480 has 128 divisors (see below), whose sum is σ = 33571065600. Its totient is φ = 4012167168.

The previous prime is 12377453447. The next prime is 12377453497. The reversal of 12377453480 is 8435477321.

It is a super-2 number, since 2×123774534802 (a number of 21 digits) contains 22 as substring.

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, 2961152 + ... + 2965328.

It is an arithmetic number, because the mean of its divisors is an integer number (262273950).

Almost surely, 212377453480 is an apocalyptic number.

12377453480 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 12377453480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785532800).

12377453480 is an abundant number, since it is smaller than the sum of its proper divisors (21193612120).

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

12377453480 is a wasteful number, since it uses less digits than its factorization.

12377453480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 12377453480 in words is "twelve billion, three hundred seventy-seven million, four hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 557 665 760 1064 1114 1330 2228 2660 2785 3899 4177 4456 5320 5570 7798 8354 10583 11140 15596 16708 19495 20885 21166 22280 29239 31192 33416 38990 41770 42332 52915 58478 74081 77980 79363 83540 84664 105830 116956 146195 148162 155960 158726 167080 211660 233912 292390 296324 317452 370405 396815 423320 555541 584780 592648 634904 740810 793630 1111082 1169560 1481620 1587260 2222164 2326589 2777705 2963240 3174520 4444328 4653178 5555410 9306356 11110820 11632945 16286123 18612712 22221640 23265890 32572246 44205191 46531780 65144492 81430615 88410382 93063560 130288984 162861230 176820764 221025955 309436337 325722460 353641528 442051910 618872674 651444920 884103820 1237745348 1547181685 1768207640 2475490696 3094363370 6188726740 12377453480