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78343911504 = 243567300749
BaseRepresentation
bin100100011110110101…
…0010011100001010000
321111012220220001200000
41020331222103201100
52240422020132004
655553553530000
75442302155155
oct1107552234120
9244186801600
1078343911504
1130253106301
1213225273900
137506cc15b1
143b12c4422c
152087de0c39
hex123da93850

78343911504 has 120 divisors (see below), whose sum is σ = 230769084000. Its totient is φ = 25724780928.

The previous prime is 78343911449. The next prime is 78343911517. The reversal of 78343911504 is 40511934387.

78343911504 is a `hidden beast` number, since 78 + 34 + 39 + 11 + 504 = 666.

It is a super-2 number, since 2×783439115042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78343911504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110122 + ... + 410870.

It is an arithmetic number, because the mean of its divisors is an integer number (1923075700).

Almost surely, 278343911504 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 78343911504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115384542000).

78343911504 is an abundant number, since it is smaller than the sum of its proper divisors (152425172496).

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

78343911504 is a wasteful number, since it uses less digits than its factorization.

78343911504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300839 (or 300821 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78343911504 in words is "seventy-eight billion, three hundred forty-three million, nine hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 243 268 324 402 432 486 536 603 648 804 972 1072 1206 1296 1608 1809 1944 2412 3216 3618 3888 4824 5427 7236 9648 10854 14472 16281 21708 28944 32562 43416 65124 86832 130248 260496 300749 601498 902247 1202996 1804494 2405992 2706741 3608988 4811984 5413482 7217976 8120223 10826964 14435952 16240446 20150183 21653928 24360669 32480892 40300366 43307856 48721338 60450549 64961784 73082007 80600732 97442676 120901098 129923568 146164014 161201464 181351647 194885352 241802196 292328028 322402928 362703294 389770704 483604392 544054941 584656056 725406588 967208784 1088109882 1169312112 1450813176 1632164823 2176219764 2901626352 3264329646 4352439528 4896494469 6528659292 8704879056 9792988938 13057318584 19585977876 26114637168 39171955752 78343911504