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2373136542 = 23572227439
BaseRepresentation
bin1000110101110011…
…0011000010011110
320010101110211100000
42031130303002132
514330010332132
61031252315130
7112544220300
oct21534630236
96111424300
102373136542
111008634677
12562912aa6
132ba87150a
14187269970
15dd51b87c
hex8d73309e

2373136542 has 144 divisors (see below), whose sum is σ = 6244318080. Its totient is φ = 673514352.

The previous prime is 2373136531. The next prime is 2373136553. The reversal of 2373136542 is 2456313732.

2373136542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2373136531) and next prime (2373136553).

It is a junction number, because it is equal to n+sod(n) for n = 2373136497 and 2373136506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5405559 + ... + 5405997.

It is an arithmetic number, because the mean of its divisors is an integer number (43363320).

Almost surely, 22373136542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2373136542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122159040).

2373136542 is an abundant number, since it is smaller than the sum of its proper divisors (3871181538).

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

2373136542 is a wasteful number, since it uses less digits than its factorization.

2373136542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2373136542 is about 48714.8492966980. The cubic root of 2373136542 is about 1333.8517888906.

The spelling of 2373136542 in words is "two billion, three hundred seventy-three million, one hundred thirty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 227 243 294 378 439 441 454 486 567 681 878 882 1134 1317 1323 1362 1589 1701 2043 2634 2646 3073 3178 3402 3951 3969 4086 4767 6129 6146 7902 7938 9219 9534 11123 11853 11907 12258 14301 18387 18438 21511 22246 23706 23814 27657 28602 33369 35559 36774 42903 43022 55161 55314 64533 66738 71118 82971 85806 99653 100107 106677 110322 128709 129066 165942 193599 199306 200214 213354 248913 257418 298959 300321 386127 387198 497826 580797 597918 600642 697571 746739 772254 896877 900963 1161594 1395142 1493478 1742391 1793754 1801926 2092713 2690631 2702889 3484782 4185426 4882997 5227173 5381262 5405778 6278139 8071893 9765994 10454346 12556278 14648991 16143786 18834417 24215679 29297982 37668834 43946973 48431358 56503251 87893946 113006502 131840919 169509753 263681838 339019506 395522757 791045514 1186568271 2373136542