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45155350032 = 243131731812311
BaseRepresentation
bin101010000011011101…
…111111011000010000
311022112221202110020120
4222003131333120100
51214434232200112
632424415510240
73155664066552
oct520335773020
9138487673216
1045155350032
1118172021901
128902528380
134348164240
14228514b4d2
1512943c7e8c
hexa8377f610

45155350032 has 160 divisors (see below), whose sum is σ = 127103698176. Its totient is φ = 13731379200.

The previous prime is 45155350013. The next prime is 45155350127. The reversal of 45155350032 is 23005355154.

It is a happy number.

45155350032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45155349975 and 45155350002.

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, 19538157 + ... + 19540467.

Almost surely, 245155350032 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 45155350032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63551849088).

45155350032 is an abundant number, since it is smaller than the sum of its proper divisors (81948348144).

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

45155350032 is a wasteful number, since it uses less digits than its factorization.

45155350032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 45155350032 in words is "forty-five billion, one hundred fifty-five million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 181 208 312 346 362 519 543 624 692 724 1038 1086 1384 1448 2076 2172 2249 2311 2353 2768 2896 4152 4344 4498 4622 4706 6747 6933 7059 8304 8688 8996 9244 9412 13494 13866 14118 17992 18488 18824 26988 27732 28236 30043 31313 35984 36976 37648 53976 55464 56472 60086 62626 90129 93939 107952 110928 112944 120172 125252 180258 187878 240344 250504 360516 375756 399803 407069 418291 480688 501008 721032 751512 799606 814138 836582 1199409 1221207 1254873 1442064 1503024 1599212 1628276 1673164 2398818 2442414 2509746 3198424 3256552 3346328 4797636 4884828 5019492 5197439 5437783 6396848 6513104 6692656 9595272 9769656 10038984 10394878 10875566 15592317 16313349 19190544 19539312 20077968 20789756 21751132 31184634 32626698 41579512 43502264 62369268 65253396 72364343 83159024 87004528 124738536 130506792 144728686 217093029 249477072 261013584 289457372 434186058 578914744 868372116 940736459 1157829488 1736744232 1881472918 2822209377 3473488464 3762945836 5644418754 7525891672 11288837508 15051783344 22577675016 45155350032