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542540107520 = 2851933476329
BaseRepresentation
bin1111110010100011110…
…10010000111100000000
31220212101112221002012022
413321101322100330000
532342110231420040
61053123421221012
754124435552415
oct7712172207400
91825345832168
10542540107520
1119a0a9823954
1289193701768
133c213533228
141c38acc210c
15e1a56196b5
hex7e51e90f00

542540107520 has 144 divisors (see below), whose sum is σ = 1310258043360. Its totient is φ = 215235428352.

The previous prime is 542540107489. The next prime is 542540107531. The reversal of 542540107520 is 25701045245.

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, 85719716 + ... + 85726044.

It is an arithmetic number, because the mean of its divisors is an integer number (9099014190).

Almost surely, 2542540107520 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 542540107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655129021680).

542540107520 is an abundant number, since it is smaller than the sum of its proper divisors (767717935840).

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

542540107520 is a wasteful number, since it uses less digits than its factorization.

542540107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 542540107520 in words is "five hundred forty-two billion, five hundred forty million, one hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 347 386 640 694 772 965 1280 1388 1544 1735 1930 2776 3088 3470 3860 5552 6176 6329 6940 7720 11104 12352 12658 13880 15440 22208 24704 25316 27760 30880 31645 44416 49408 50632 55520 61760 63290 66971 88832 101264 111040 123520 126580 133942 202528 222080 247040 253160 267884 334855 405056 444160 506320 535768 669710 810112 1012640 1071536 1221497 1339420 1620224 2025280 2143072 2196163 2442994 2678840 4050560 4286144 4392326 4885988 5357680 6107485 8101120 8572288 8784652 9771976 10715360 10980815 12214970 17144576 17569304 19543952 21430720 21961630 24429940 35138608 39087904 42861440 43923260 48859880 70277216 78175808 85722880 87846520 97719760 140554432 156351616 175693040 195439520 281108864 312703232 351386080 390879040 423859459 562217728 702772160 781758080 847718918 1405544320 1563516160 1695437836 2119297295 2811088640 3390875672 4238594590 6781751344 8477189180 13563502688 16954378360 27127005376 33908756720 54254010752 67817513440 108508021504 135635026880 271270053760 542540107520