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693270036048 = 243293316832203
BaseRepresentation
bin10100001011010100001…
…11010011111001010000
32110021110011212210202210
422011222013103321100
542324304112123143
61250252302512120
7101041610035242
oct12055207237120
92407404783683
10693270036048
11248017953117
12b243a895640
13504b50a0355
14257a959c092
151307832e033
hexa16a1d3e50

693270036048 has 160 divisors (see below), whose sum is σ = 1861867261440. Its totient is φ = 222020789760.

The previous prime is 693270035897. The next prime is 693270036049. The reversal of 693270036048 is 840630072396.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 693270035988 and 693270036006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693270036049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314692515 + ... + 314694717.

It is an arithmetic number, because the mean of its divisors is an integer number (11636670384).

Almost surely, 2693270036048 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 693270036048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930933630720).

693270036048 is an abundant number, since it is smaller than the sum of its proper divisors (1168597225392).

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

693270036048 is a wasteful number, since it uses less digits than its factorization.

693270036048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 693270036048 in words is "six hundred ninety-three billion, two hundred seventy million, thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 331 348 464 662 683 696 993 1324 1366 1392 1986 2049 2203 2648 2732 3972 4098 4406 5296 5464 6609 7944 8196 8812 9599 10928 13218 15888 16392 17624 19198 19807 26436 28797 32784 35248 38396 39614 52872 57594 59421 63887 76792 79228 105744 115188 118842 127774 153584 158456 191661 226073 230376 237684 255548 316912 383322 452146 460752 475368 511096 678219 729193 766644 904292 950736 1022192 1356438 1458386 1504649 1533288 1808584 2187579 2712876 2916772 3009298 3066576 3617168 4375158 4513947 5425752 5833544 6018596 6556117 8750316 9027894 10851504 11667088 12037192 13112234 17500632 18055788 19668351 21146597 24074384 26224468 35001264 36111576 39336702 42293194 43634821 52448936 63439791 72223152 78673404 84586388 87269642 104897872 126879582 130904463 157346808 169172776 174539284 253759164 261808926 314693616 338345552 349078568 498038819 507518328 523617852 698157136 996077638 1015036656 1047235704 1494116457 1992155276 2094471408 2988232914 3984310552 5976465828 7968621104 11952931656 14443125751 23905863312 28886251502 43329377253 57772503004 86658754506 115545006008 173317509012 231090012016 346635018024 693270036048