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153007350104064 = 21434175925427
BaseRepresentation
bin100010110010100011001100…
…110000000100000000000000
3202001202100201022021001011010
4202302203030300010000000
5130023333023111312224
61301230334541520520
744141262525646341
oct4262431460040000
9661670638231133
10153007350104064
1144831064270a05
12151b1a23b73140
13674b6ba093401
1429ad8495660c8
1512a5114096e29
hex8b28ccc04000

153007350104064 has 120 divisors (see below), whose sum is σ = 417958547878368. Its totient is φ = 49758487183360.

The previous prime is 153007350104057. The next prime is 153007350104083. The reversal of 153007350104064 is 460401053700351.

It is a super-2 number, since 2×1530073501040642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35947482 + ... + 39977945.

Almost surely, 2153007350104064 is an apocalyptic number.

It is an amenable number.

153007350104064 is an abundant number, since it is smaller than the sum of its proper divisors (264951197774304).

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

153007350104064 is an frugal number, since it uses more digits than its factorization.

153007350104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75925499 (or 75925473 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 153007350104064 in words is "one hundred fifty-three trillion, seven billion, three hundred fifty million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 5248 6144 7872 8192 10496 12288 15744 16384 20992 24576 31488 41984 49152 62976 83968 125952 167936 251904 335872 503808 671744 1007616 2015232 75925427 151850854 227776281 303701708 455552562 607403416 911105124 1214806832 1822210248 2429613664 3112942507 3644420496 4859227328 6225885014 7288840992 9338827521 9718454656 12451770028 14577681984 18677655042 19436909312 24903540056 29155363968 37355310084 38873818624 49807080112 58310727936 74710620168 77747637248 99614160224 116621455872 149421240336 155495274496 199228320448 233242911744 298842480672 310990548992 398456640896 466485823488 597684961344 621981097984 796913281792 932971646976 1195369922688 1243962195968 1593826563584 1865943293952 2390739845376 3187653127168 3731886587904 4781479690752 6375306254336 9562959381504 12750612508672 19125918763008 25501225017344 38251837526016 51002450034688 76503675052032 153007350104064